Edit Profile (opens in new tab) Freedman, Michael Hartley Compute Distance To: Compute Author ID: freedman.michael-hartley Published as: Freedman, Michael H.; Freedman, Michael; Freedman, Michael Hartley; Freedman, M.; Freedman, Michael; Freedman, M. H. more...less Homepage: http://stationq.cnsi.ucsb.edu/~freedman/ External Links: Celebratio Mathematica · MacTutor · MGP · Wikidata · dblp · GND · IdRef Awards: Fields Medal (1986) Documents Indexed: 124 Publications since 1975, including 3 Books 3 Further Contributions Biographic References: 2 Publications Co-Authors: 69 Co-Authors with 82 Joint Publications 1,450 Co-Co-Authors all top 5 Co-Authors 39 single-authored 15 Wang, Zhenghan 8 Krushkal, Vyacheslav S. 7 He, Zheng-Xu 7 Nayak, Chetan 7 Walker, Kevin 4 Hastings, Matthew B. 4 Kitaev, Alexei Yu. 3 Larsen, Michael Jeffrey 3 Luo, Feng 3 Quinn, Frank S. 3 Teichner, Peter 3 Zini, Modjtaba Shokrian 2 Bonderson, Parsa 2 Calegari, Danny Matthew Cornelius 2 Cui, Shawn Xingshan 2 Demichelis, Stefano 2 Hass, Joel 2 Kirby, Robion Cromwell 2 Lovász, László 2 Meyer, David A. 2 Nguễyn-Phan, T. Tâm 2 Scott, G. Peter 2 Skora, Richard K. 2 Stong, Richard A. 2 Taylor, Laurence Robert 1 Agol, Ian 1 Baxter, Rodney J. 1 Behrens, Stefan 1 Birman, Joan S. 1 Bisch, Dietmar H. 1 Bordewich, Magnus 1 Brown, Adam R. 1 Bryson, Steve 1 Casson, Andrew J. 1 Chow, Bennett 1 Conder, Marston Donald Edward 1 Connes, Alain 1 Curtis, Cynthia L. 1 Das Sarma, Sankar 1 de Cornulier, Yves 1 de la Harpe, Pierre 1 Evans, David E. 1 Fidkowski, Lukasz M. 1 Freedman, Benedict 1 Gabai, David 1 Gamper, Lukas 1 Gils, Charlotte 1 Gompf, Robert E. 1 Goodman, Fred J. 1 Guionnet, Alice 1 Guth, Lawrence David 1 Haah, Jeongwan 1 Headrick, Matthew 1 Hillman, Jonathan Arthur 1 Howards, Hugh Nelson 1 Hsiang, Wu-Chung 1 Isakov, Sergei V. 1 Izumi, Masaki 1 Jaffe, Arthur Michael 1 Kalmár, Boldizsár 1 Kawahigashi, Yasuyuki 1 Kim, Min Hoon 1 Lehrer, Gustav Isaac 1 Levaillant, Claire 1 Lin, Xiao-Song 1 Longo, Roberto 1 Louridas, Sotirios E. 1 Lurie, Jacob 1 Martin, Gaven J. 1 McMullen, Curtis Tracy 1 Meeks, William Hamilton III 1 Minton, Greg 1 Morrison, Scott 1 Murphy, Emmy 1 Popa, Sorin Teodor 1 Powell, Mark 1 Press, William H. 1 Rassias, Michael Th. 1 Ratcliffe, John G. 1 Ray, Arunima 1 Reshetikhin, Nikolai Yu. 1 Sattath, Or 1 Scharlemann, Martin G. 1 Schrijver, Alexander 1 Shin, Henry 1 Shlyakhtenko, Dimitri L. 1 Shtengel, Kirill 1 Simon, Steven H. 1 Skandalis, Georges 1 Slingerland, Johannes K. 1 Stern, Ady 1 Sutherland, Colin E. 1 Trebst, Simon 1 Troyer, Matthias 1 Welsh, Dominic J. A. 1 Witten, Edward 1 Woodin, W. Hugh 1 Wu, Yingqing 1 Yau, Shing-Tung 1 Zhang, Yongjia ...and 1 more Co-Authors all top 5 Serials 10 Mathematical Research Letters 9 Communications in Mathematical Physics 9 Inventiones Mathematicae 9 Topology 4 Journal of Differential Geometry 4 Pacific Journal of Mathematics 4 Annals of Mathematics. Second Series 3 Topology and its Applications 3 Annals of Physics 3 Geometry & Topology 3 Foundations of Computational Mathematics 2 Commentarii Mathematici Helvetici 2 Journal of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Journal of Knot Theory and its Ramifications 2 Journal of High Energy Physics 2 Journal of Topology 2 Quantum Topology 2 Peking Mathematical Journal 1 Journal of Fluid Mechanics 1 Journal of Mathematical Physics 1 Reviews of Modern Physics 1 Advances in Mathematics 1 Bulletin of the London Mathematical Society 1 IEEE Transactions on Automatic Control 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Discrete & Computational Geometry 1 Forum Mathematicum 1 Linear Algebra and its Applications 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Combinatorics, Probability and Computing 1 Documenta Mathematica 1 Annales Academiae Scientiarum Fennicae. Mathematica 1 Physical Review Letters 1 Algebraic & Geometric Topology 1 Bulletin of the American Mathematical Society 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Princeton Mathematical Series 1 University Lecture Series 1 Journal of Topology and Analysis 1 Forum of Mathematics, Sigma all top 5 Fields 84 Manifolds and cell complexes (57-XX) 32 Quantum theory (81-XX) 17 Differential geometry (53-XX) 14 Computer science (68-XX) 9 Group theory and generalizations (20-XX) 7 Algebraic topology (55-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Topological groups, Lie groups (22-XX) 4 Functions of a complex variable (30-XX) 3 Combinatorics (05-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Fluid mechanics (76-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 \(K\)-theory (19-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Geometry (51-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 2 Relativity and gravitational theory (83-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 95 Publications have been cited 2,091 times in 1,596 Documents Cited by ▼ Year ▼ The topology of four-dimensional manifolds. Zbl 0528.57011Freedman, Michael Hartley 419 1982 Topology of 4-manifolds. Zbl 0705.57001Freedman, Michael H.; Quinn, Frank S. 267 1990 Non-abelian anyons and topological quantum computation. Zbl 1205.81062Nayak, Chetan; Simon, Steven H.; Stern, Ady; Freedman, Michael; Das Sarma, Sankar 210 2008 Möbius energy of knots and unknots. Zbl 0817.57011Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan 81 1994 Topological quantum computation. Zbl 1019.81008Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.; Wang, Zhenghan 73 2003 Reflection positivity, rank connectivity, and homomorphism of graphs. Zbl 1107.05089Freedman, Michael; Lovász, László; Schrijver, Alexander 68 2007 Least area incompressible surfaces in 3-manifolds. Zbl 0482.53045Freedman, Michael; Hass, Joel; Scott, Peter 66 1983 Bit threads and holographic entanglement. Zbl 1425.81014Freedman, Michael; Headrick, Matthew 64 2017 A modular functor which is universal for quantum computation. Zbl 1012.81007Freedman, Michael H.; Larsen, Michael; Wang, Zhenghan 63 2002 Simulation of topological field theories by quantum computers. Zbl 1014.81006Freedman, Michael H.; Kitaev, Alexei; Wang, Zhenghan 51 2002 Divergence-free fields: Energy and asymptotic crossing number. Zbl 0746.57011Freedman, Michael H.; He, Zhengxu 37 1991 4-manifold topology. I: Subexponential groups. Zbl 0857.57017Freedman, Michael H.; Teichner, Peter 36 1995 The two-eigenvalue problem and density of Jones representation of braid groups. Zbl 1045.20027Freedman, Michael H.; Larsen, Michael J.; Wang, Zhenghan 33 2002 Man and machine thinking about the smooth 4-dimensional Poincaré conjecture. Zbl 1236.57043Freedman, Michael H.; Gompf, Robert E.; Morrison, Scott; Walker, Kevin 26 2010 P/NP, and the quantum field computer. Zbl 0895.68053Freedman, Michael H. 24 1998 A decomposition theorem for \(h\)-cobordant smooth simply-connected compact \(4\)-manifolds. Zbl 0843.57020Curtis, C. L.; Freedman, M. H.; Hsiang, W. C.; Stong, R. 22 1996 Van Kampen’s embedding obstruction is incomplete for 2-complexes in \(\mathbb{R}^ 4\). Zbl 0847.57005Freedman, Michael H.; Krushkal, Vyacheslav S.; Teichner, Peter 21 1994 A Poincaré-Lindstedt approach to bifurcation problems for differential- delay equations. Zbl 0437.34058Casal, A.; Freedman, M. 20 1980 4-manifold topology. II: Dwyer’s filtration and surgery kernels. Zbl 0857.57018Freedman, Michael H.; Teichner, Peter 20 1995 Projective plane and planar quantum codes. Zbl 0995.94037Freedman, Michael H.; Meyer, David A. 20 2001 Closed geodesics on surfaces. Zbl 0476.53026Freedman, Michael; Hass, Joel; Scott, Peter 19 1982 Kneser-Haken finiteness for bounded 3-manifolds, locally free groups, and cyclic covers. Zbl 0896.57012Freedman, Benedict; Freedman, Michael H. 19 1998 Strange actions of groups on spheres. Zbl 0588.57024Freedman, Michael H.; Skora, Richard 17 1987 Quantum \(SU(2)\) faithfully detects mapping class groups modulo center. Zbl 1037.57024Freedman, Michael H.; Walker, Kevin; Wang, Zhenghan 17 2002 A class of \(P,T\)-invariant topological phases of interacting electrons. Zbl 1057.81053Freedman, Michael; Nayak, Chetan; Shtengel, Kirill; Walker, Kevin; Wang, Zhenghan 17 2004 Approximate counting and quantum computation. Zbl 1089.68040Bordewich, M.; Freedman, M.; Lovász, L.; Welsh, D. 17 2005 The disk theorem for four-dimensional manifolds. Zbl 0577.57003Freedman, Michael H. 16 1984 Distortion in transformation groups (with an appendix by Yves de Cornulier). Zbl 1106.37017Calegari, Danny; Freedman, Michael H. 16 2006 A surgery sequence in dimension four; the relations with knot concordance. Zbl 0504.57016Freedman, Michael H. 15 1982 Uncountably many exotic \(R^ 4\)’s in standard \(4\)-space. Zbl 0780.57012DeMichelis, Stefano; Freedman, Michael H. 15 1992 \(Z_2\)-systolic freedom and quantum codes. Zbl 1075.81508Freedman, Michael H.; Meyer, David A.; Luo, Feng 14 2002 Quadruple points of 3-manifolds in \(S^4\). Zbl 0404.57011Freedman, Michael H. 13 1978 A fake \(S^3\times R\). Zbl 0442.57014Freedman, Michael Hartley 11 1979 A magnetic model with a possible Chern-Simons phase (with an appendix by F. Goodman and H. Wenzl). Zbl 1060.81054Freedman, Michael H. 11 2003 A new technique for the link slice problem. Zbl 0569.57002Freedman, Michael H. 11 1985 \(\Gamma\)-splitting 4-manifolds. Zbl 0363.57004Freedman, Michael H.; Taylor, Lawrence 10 1977 A geometric reformulation of 4-dimensional surgery. Zbl 0898.57005Freedman, Michael H. 9 1986 On the \((A,B)\)-slice problem. Zbl 0845.57016Freedman, Michael H.; Lin, Xiao-Song 9 1989 A geometric proof of Rochlin’s theorem. Zbl 0392.57018Freedman, Michael; Kirby, Robion 9 1978 Planes triply tangent to curves with nonvanishing torsion. Zbl 0438.53001Freedman, Michael H. 8 1980 Homotopically trivial symmetries of Haken manifolds are toral. Zbl 0515.57004Freedman, Michael; Yau, Shing-Tung 8 1983 Atomic surgery problems. Zbl 0559.57008Casson, Andrew; Freedman, Michael 8 1984 Universal manifold pairings and positivity. Zbl 1129.57035Freedman, Michael H.; Kitaev, Alexei; Nayak, Chetan; Slingerland, Johannes K.; Walker, Kevin; Wang, Zhenghan 8 2005 Measurement-only topological quantum computation. Zbl 1228.81121Bonderson, Parsa; Freedman, Michael; Nayak, Chetan 8 2008 A universal smoothing of four-space. Zbl 0586.57007Freedman, Michael H.; Taylor, Laurence R. 8 1986 Möbius invariance of knot energy. Zbl 0776.57003Bryson, Steve; Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan 7 1993 Positivity of the universal pairing in 3 dimensions. Zbl 1201.57024Calegari, Danny; Freedman, Michael H.; Walker, Kevin 7 2010 Classification of quantum cellular automata. Zbl 1447.81024Freedman, Michael; Hastings, Matthew B. 6 2020 On the asymptotics of quantum SU(2) representations of mapping class groups. Zbl 1120.57014Freedman, Michael; Krushkal, Vyacheslav 6 2006 Quantum computation and the localization of modular functors. Zbl 1004.57026Freedman, Michael H. 6 2001 Whitehead\(_ 3\) is a “slice” link. Zbl 0678.57002Freedman, Michael H. 6 1988 Quantum max-flow/min-cut. Zbl 1341.90014Cui, Shawn X.; Freedman, Michael H.; Sattath, Or; Stong, Richard; Minton, Greg 6 2016 Links of tori and the energy of incompressible flows. Zbl 0731.57003Freedman, Michael H.; He, Zheng-Xu 6 1991 Curvature growth of some 4-dimensional gradient Ricci soliton singularity models. Zbl 1445.53067Chow, Bennett; Freedman, Michael; Shin, Henry; Zhang, Yongjia 5 2020 Measurement-only topological quantum computation via anyonic interferometry. Zbl 1171.81004Bonderson, Parsa; Freedman, Michael; Nayak, Chetan 5 2009 Double semions in arbitrary dimension. Zbl 1350.81028Freedman, Michael H.; Hastings, Matthew B. 5 2016 A note on topology and magnetic energy in incompressible perfectly conducting fluids. Zbl 0676.76095Freedman, Michael H. 5 1988 Geometric complexity of embeddings in \(\mathbb R^d\). Zbl 1366.57013Freedman, Michael; Krushkal, Vyacheslav 5 2014 Slightly singular 4-manifolds. Zbl 0459.57008Freedman, Michael; Quinn, Frank 4 1981 Topological views on computational complexity. Zbl 0967.68520Freedman, Michael H. 4 1998 Selected applications of geometry to low-dimensional topology. Marker lectures in the mathematical sciences held at the Pennsylvania State University, February, 2-5, 1987. Zbl 0691.57001Freedman, Michael H.; Luo, Feng 4 1989 There is no room to spare in four-dimensional space. Zbl 0538.57001Freedman, Michael 4 1984 Are the Borromean rings A-B-slice. Zbl 0627.57004Freedman, Michael H. 4 1986 Factoring the logarithmic spiral. Zbl 0622.30011Freedman, Michael H.; He, Z.-X. 4 1988 From string nets to nonabelions. Zbl 1196.82072Fidkowski, Lukasz; Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan 4 2009 Interferometric versus projective measurement of anyons. Zbl 1372.81140Levaillant, Claire; Freedman, Michael 4 2015 Uniqueness theorems for taut submanifolds. Zbl 0357.57004Freedman, Michael 3 1976 Une obstruction élémentaire à l’existence d’une action continue de groupe dans une variété. Zbl 0373.57021Freedman, Michael; Meeks, H. William III 3 1978 Complexity classes as mathematical axioms. Zbl 1178.03069Freedman, Michael H. 3 2009 Engel relations in 4-manifold topology. Zbl 1366.57010Freedman, Michael; Krushkal, Vyacheslav 3 2016 Link compositions and the topological slice problem. Zbl 0782.57010Freedman, Michael H. 3 1993 A quick proof of the 4-dimensional stable surgery theorem. Zbl 0453.57024Freedman, Michael; Quinn, Frank 2 1980 \(k\)-sat on groups and undecidability. Zbl 1028.68068Freedman, Michael H. 2 1998 Surgery on codimension 2 submanifolds. Zbl 0369.57012Freedman, Michael H. 2 1977 On picture \((2+1)\)-TQFTs. Zbl 1168.81024Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan 2 2008 \(\mathbb{Z}_2\)-systolic-freedom. Zbl 1024.53029Freedman, Michael H. 2 1999 Extension of incompressible surfaces on the boundaries of 3-manifolds. Zbl 1015.57010Freedman, Michael; Howards, Hugh; Wu, Ying-Qing 2 2000 Poincaré transversality and four-dimensional surgery. Zbl 0654.57007Freedman, Michael H. 2 1988 Topological arbiters. Zbl 1242.57018Freedman, Michael; Krushkal, Vyacheslav 2 2012 Group width. Zbl 1238.57004Freedman, Michael H. 2 2011 Limit, logic, and computation. Zbl 0891.68041Freedman, Michael H. 2 1998 Percolation on the projective plane. Zbl 0902.60085Freedman, Michael H. 2 1997 Diameters of homogeneous spaces. Zbl 1029.22031Freedman, Michael H.; Kitaev, Alexei; Lurie, Jacob 2 2003 Quantum computing with octonions. Zbl 1457.81024Freedman, Michael; Shokrian-Zini, Modjtaba; Wang, Zhenghan 1 2019 Zeldovich’s neutron star and the prediction of magnetic froth. Zbl 0973.76097Freedman, Michael H. 1 1999 Poly-locality in quantum computing. Zbl 1075.81507Freedman, Michael H. 1 2002 An unknotting result for complete minimal surfaces in \(\mathbb{R}^ 3\). Zbl 0773.53003Freedman, Michael H. 1 1992 Equivariant isotopy of unknots to round circles. Zbl 0830.53002Freedman, Michael H.; Luo, Feng 1 1995 \(CP^ 2\)-stable theory. Zbl 0849.57016Freedman, Michael H.; Wang, Zhenghan 1 1994 A conservative Dehn’s lemma. Zbl 0525.57005Freedman, Michael H. 1 1983 Covering a nontaming knot by the unlink. Zbl 1158.57024Freedman, Michael H.; Gabai, David 1 2007 Topological phases: an expedition off lattice. Zbl 1221.81219Freedman, Michael H.; Gamper, Lukas; Gils, Charlotte; Isakov, Sergei V.; Trebst, Simon; Troyer, Matthias 1 2011 Building manifolds from quantum codes. Zbl 1485.53115Freedman, Michael; Hastings, Matthew 1 2021 Problem-solving and selected topics in Euclidean geometry. In the spirit of the mathematical olympiads. With a foreword by Michael H. Freedman. Zbl 1273.51002Louridas, Sotirios E.; Rassias, Michael T. 1 2013 Complexity classes as mathematical axioms. II. Zbl 1336.68088Cui, Shawn X.; Freedman, Michael H.; Wang, Zhenghan 1 2016 Building manifolds from quantum codes. Zbl 1485.53115Freedman, Michael; Hastings, Matthew 1 2021 Classification of quantum cellular automata. Zbl 1447.81024Freedman, Michael; Hastings, Matthew B. 6 2020 Curvature growth of some 4-dimensional gradient Ricci soliton singularity models. Zbl 1445.53067Chow, Bennett; Freedman, Michael; Shin, Henry; Zhang, Yongjia 5 2020 Quantum computing with octonions. Zbl 1457.81024Freedman, Michael; Shokrian-Zini, Modjtaba; Wang, Zhenghan 1 2019 Bit threads and holographic entanglement. Zbl 1425.81014Freedman, Michael; Headrick, Matthew 64 2017 Quantum max-flow/min-cut. Zbl 1341.90014Cui, Shawn X.; Freedman, Michael H.; Sattath, Or; Stong, Richard; Minton, Greg 6 2016 Double semions in arbitrary dimension. Zbl 1350.81028Freedman, Michael H.; Hastings, Matthew B. 5 2016 Engel relations in 4-manifold topology. Zbl 1366.57010Freedman, Michael; Krushkal, Vyacheslav 3 2016 Complexity classes as mathematical axioms. II. Zbl 1336.68088Cui, Shawn X.; Freedman, Michael H.; Wang, Zhenghan 1 2016 Interferometric versus projective measurement of anyons. Zbl 1372.81140Levaillant, Claire; Freedman, Michael 4 2015 Geometric complexity of embeddings in \(\mathbb R^d\). Zbl 1366.57013Freedman, Michael; Krushkal, Vyacheslav 5 2014 Problem-solving and selected topics in Euclidean geometry. In the spirit of the mathematical olympiads. With a foreword by Michael H. Freedman. Zbl 1273.51002Louridas, Sotirios E.; Rassias, Michael T. 1 2013 Topological arbiters. Zbl 1242.57018Freedman, Michael; Krushkal, Vyacheslav 2 2012 Group width. Zbl 1238.57004Freedman, Michael H. 2 2011 Topological phases: an expedition off lattice. Zbl 1221.81219Freedman, Michael H.; Gamper, Lukas; Gils, Charlotte; Isakov, Sergei V.; Trebst, Simon; Troyer, Matthias 1 2011 Man and machine thinking about the smooth 4-dimensional Poincaré conjecture. Zbl 1236.57043Freedman, Michael H.; Gompf, Robert E.; Morrison, Scott; Walker, Kevin 26 2010 Positivity of the universal pairing in 3 dimensions. Zbl 1201.57024Calegari, Danny; Freedman, Michael H.; Walker, Kevin 7 2010 Measurement-only topological quantum computation via anyonic interferometry. Zbl 1171.81004Bonderson, Parsa; Freedman, Michael; Nayak, Chetan 5 2009 From string nets to nonabelions. Zbl 1196.82072Fidkowski, Lukasz; Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan 4 2009 Complexity classes as mathematical axioms. Zbl 1178.03069Freedman, Michael H. 3 2009 Non-abelian anyons and topological quantum computation. Zbl 1205.81062Nayak, Chetan; Simon, Steven H.; Stern, Ady; Freedman, Michael; Das Sarma, Sankar 210 2008 Measurement-only topological quantum computation. Zbl 1228.81121Bonderson, Parsa; Freedman, Michael; Nayak, Chetan 8 2008 On picture \((2+1)\)-TQFTs. Zbl 1168.81024Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan 2 2008 Reflection positivity, rank connectivity, and homomorphism of graphs. Zbl 1107.05089Freedman, Michael; Lovász, László; Schrijver, Alexander 68 2007 Covering a nontaming knot by the unlink. Zbl 1158.57024Freedman, Michael H.; Gabai, David 1 2007 Distortion in transformation groups (with an appendix by Yves de Cornulier). Zbl 1106.37017Calegari, Danny; Freedman, Michael H. 16 2006 On the asymptotics of quantum SU(2) representations of mapping class groups. Zbl 1120.57014Freedman, Michael; Krushkal, Vyacheslav 6 2006 Approximate counting and quantum computation. Zbl 1089.68040Bordewich, M.; Freedman, M.; Lovász, L.; Welsh, D. 17 2005 Universal manifold pairings and positivity. Zbl 1129.57035Freedman, Michael H.; Kitaev, Alexei; Nayak, Chetan; Slingerland, Johannes K.; Walker, Kevin; Wang, Zhenghan 8 2005 A class of \(P,T\)-invariant topological phases of interacting electrons. Zbl 1057.81053Freedman, Michael; Nayak, Chetan; Shtengel, Kirill; Walker, Kevin; Wang, Zhenghan 17 2004 Topological quantum computation. Zbl 1019.81008Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.; Wang, Zhenghan 73 2003 A magnetic model with a possible Chern-Simons phase (with an appendix by F. Goodman and H. Wenzl). Zbl 1060.81054Freedman, Michael H. 11 2003 Diameters of homogeneous spaces. Zbl 1029.22031Freedman, Michael H.; Kitaev, Alexei; Lurie, Jacob 2 2003 A modular functor which is universal for quantum computation. Zbl 1012.81007Freedman, Michael H.; Larsen, Michael; Wang, Zhenghan 63 2002 Simulation of topological field theories by quantum computers. Zbl 1014.81006Freedman, Michael H.; Kitaev, Alexei; Wang, Zhenghan 51 2002 The two-eigenvalue problem and density of Jones representation of braid groups. Zbl 1045.20027Freedman, Michael H.; Larsen, Michael J.; Wang, Zhenghan 33 2002 Quantum \(SU(2)\) faithfully detects mapping class groups modulo center. Zbl 1037.57024Freedman, Michael H.; Walker, Kevin; Wang, Zhenghan 17 2002 \(Z_2\)-systolic freedom and quantum codes. Zbl 1075.81508Freedman, Michael H.; Meyer, David A.; Luo, Feng 14 2002 Poly-locality in quantum computing. Zbl 1075.81507Freedman, Michael H. 1 2002 Projective plane and planar quantum codes. Zbl 0995.94037Freedman, Michael H.; Meyer, David A. 20 2001 Quantum computation and the localization of modular functors. Zbl 1004.57026Freedman, Michael H. 6 2001 Extension of incompressible surfaces on the boundaries of 3-manifolds. Zbl 1015.57010Freedman, Michael; Howards, Hugh; Wu, Ying-Qing 2 2000 \(\mathbb{Z}_2\)-systolic-freedom. Zbl 1024.53029Freedman, Michael H. 2 1999 Zeldovich’s neutron star and the prediction of magnetic froth. Zbl 0973.76097Freedman, Michael H. 1 1999 P/NP, and the quantum field computer. Zbl 0895.68053Freedman, Michael H. 24 1998 Kneser-Haken finiteness for bounded 3-manifolds, locally free groups, and cyclic covers. Zbl 0896.57012Freedman, Benedict; Freedman, Michael H. 19 1998 Topological views on computational complexity. Zbl 0967.68520Freedman, Michael H. 4 1998 \(k\)-sat on groups and undecidability. Zbl 1028.68068Freedman, Michael H. 2 1998 Limit, logic, and computation. Zbl 0891.68041Freedman, Michael H. 2 1998 Percolation on the projective plane. Zbl 0902.60085Freedman, Michael H. 2 1997 A decomposition theorem for \(h\)-cobordant smooth simply-connected compact \(4\)-manifolds. Zbl 0843.57020Curtis, C. L.; Freedman, M. H.; Hsiang, W. C.; Stong, R. 22 1996 4-manifold topology. I: Subexponential groups. Zbl 0857.57017Freedman, Michael H.; Teichner, Peter 36 1995 4-manifold topology. II: Dwyer’s filtration and surgery kernels. Zbl 0857.57018Freedman, Michael H.; Teichner, Peter 20 1995 Equivariant isotopy of unknots to round circles. Zbl 0830.53002Freedman, Michael H.; Luo, Feng 1 1995 Möbius energy of knots and unknots. Zbl 0817.57011Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan 81 1994 Van Kampen’s embedding obstruction is incomplete for 2-complexes in \(\mathbb{R}^ 4\). Zbl 0847.57005Freedman, Michael H.; Krushkal, Vyacheslav S.; Teichner, Peter 21 1994 \(CP^ 2\)-stable theory. Zbl 0849.57016Freedman, Michael H.; Wang, Zhenghan 1 1994 Möbius invariance of knot energy. Zbl 0776.57003Bryson, Steve; Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan 7 1993 Link compositions and the topological slice problem. Zbl 0782.57010Freedman, Michael H. 3 1993 Uncountably many exotic \(R^ 4\)’s in standard \(4\)-space. Zbl 0780.57012DeMichelis, Stefano; Freedman, Michael H. 15 1992 An unknotting result for complete minimal surfaces in \(\mathbb{R}^ 3\). Zbl 0773.53003Freedman, Michael H. 1 1992 Divergence-free fields: Energy and asymptotic crossing number. Zbl 0746.57011Freedman, Michael H.; He, Zhengxu 37 1991 Links of tori and the energy of incompressible flows. Zbl 0731.57003Freedman, Michael H.; He, Zheng-Xu 6 1991 Topology of 4-manifolds. Zbl 0705.57001Freedman, Michael H.; Quinn, Frank S. 267 1990 On the \((A,B)\)-slice problem. Zbl 0845.57016Freedman, Michael H.; Lin, Xiao-Song 9 1989 Selected applications of geometry to low-dimensional topology. Marker lectures in the mathematical sciences held at the Pennsylvania State University, February, 2-5, 1987. Zbl 0691.57001Freedman, Michael H.; Luo, Feng 4 1989 Whitehead\(_ 3\) is a “slice” link. Zbl 0678.57002Freedman, Michael H. 6 1988 A note on topology and magnetic energy in incompressible perfectly conducting fluids. Zbl 0676.76095Freedman, Michael H. 5 1988 Factoring the logarithmic spiral. Zbl 0622.30011Freedman, Michael H.; He, Z.-X. 4 1988 Poincaré transversality and four-dimensional surgery. Zbl 0654.57007Freedman, Michael H. 2 1988 Strange actions of groups on spheres. Zbl 0588.57024Freedman, Michael H.; Skora, Richard 17 1987 A geometric reformulation of 4-dimensional surgery. Zbl 0898.57005Freedman, Michael H. 9 1986 A universal smoothing of four-space. Zbl 0586.57007Freedman, Michael H.; Taylor, Laurence R. 8 1986 Are the Borromean rings A-B-slice. Zbl 0627.57004Freedman, Michael H. 4 1986 A new technique for the link slice problem. Zbl 0569.57002Freedman, Michael H. 11 1985 The disk theorem for four-dimensional manifolds. Zbl 0577.57003Freedman, Michael H. 16 1984 Atomic surgery problems. Zbl 0559.57008Casson, Andrew; Freedman, Michael 8 1984 There is no room to spare in four-dimensional space. Zbl 0538.57001Freedman, Michael 4 1984 Least area incompressible surfaces in 3-manifolds. Zbl 0482.53045Freedman, Michael; Hass, Joel; Scott, Peter 66 1983 Homotopically trivial symmetries of Haken manifolds are toral. Zbl 0515.57004Freedman, Michael; Yau, Shing-Tung 8 1983 A conservative Dehn’s lemma. Zbl 0525.57005Freedman, Michael H. 1 1983 The topology of four-dimensional manifolds. Zbl 0528.57011Freedman, Michael Hartley 419 1982 Closed geodesics on surfaces. Zbl 0476.53026Freedman, Michael; Hass, Joel; Scott, Peter 19 1982 A surgery sequence in dimension four; the relations with knot concordance. Zbl 0504.57016Freedman, Michael H. 15 1982 Slightly singular 4-manifolds. Zbl 0459.57008Freedman, Michael; Quinn, Frank 4 1981 A Poincaré-Lindstedt approach to bifurcation problems for differential- delay equations. Zbl 0437.34058Casal, A.; Freedman, M. 20 1980 Planes triply tangent to curves with nonvanishing torsion. Zbl 0438.53001Freedman, Michael H. 8 1980 A quick proof of the 4-dimensional stable surgery theorem. Zbl 0453.57024Freedman, Michael; Quinn, Frank 2 1980 A fake \(S^3\times R\). Zbl 0442.57014Freedman, Michael Hartley 11 1979 Quadruple points of 3-manifolds in \(S^4\). Zbl 0404.57011Freedman, Michael H. 13 1978 A geometric proof of Rochlin’s theorem. Zbl 0392.57018Freedman, Michael; Kirby, Robion 9 1978 Une obstruction élémentaire à l’existence d’une action continue de groupe dans une variété. Zbl 0373.57021Freedman, Michael; Meeks, H. William III 3 1978 \(\Gamma\)-splitting 4-manifolds. Zbl 0363.57004Freedman, Michael H.; Taylor, Lawrence 10 1977 Surgery on codimension 2 submanifolds. Zbl 0369.57012Freedman, Michael H. 2 1977 Uniqueness theorems for taut submanifolds. Zbl 0357.57004Freedman, Michael 3 1976 all cited Publications top 5 cited Publications all top 5 Cited by 1,893 Authors 26 Wang, Zhenghan 24 Freedman, Michael Hartley 21 Rowell, Eric C. 18 Teichner, Peter 15 Xue, Kang 12 Cai, Jin-Yi 12 Cochran, Thomas (Tim) Daniel 12 Livingston, Charles 12 Ruberman, Daniel 12 Schrijver, Alexander 11 Akhmedov, Anar 11 Hillman, Jonathan Arthur 11 Powell, Mark 11 Repovš, Dušan D. 10 Hambleton, Ian 10 Kreck, Matthias 10 Krushkal, Vyacheslav S. 10 Schneiderman, Rob 9 Aßelmeyer-Maluga, Torsten 9 Cha, Jae Choon 9 Friedl, Stefan 9 Gompf, Robert E. 9 Hastings, Matthew B. 9 Headrick, Matthew 9 Khan, Qayum 9 Kwasik, Sławomir 9 Park, B. Doug 9 Quinn, Frank S. 9 Regts, Guus 9 Skopenkov, Arkadiĭ Borisovich 8 Blatt, Simon 8 Feller, Peter 8 Kauffman, Louis Hirsch 8 Krol, Jerzy 8 Rasetti, Mario 8 Sun, Chunfang 8 von der Mosel, Heiko 8 Wan, Yidun 8 Wang, Gangcheng 7 Hegenbarth, Friedrich 7 Kim, Hee Jung 7 Lovász, László 7 Makowsky, Johann-Andreas 7 Marzuoli, Annalisa 7 Nakamura, Nobuhiro 7 Park, Junghwan 7 Ray, Arunima 7 Scott, G. Peter 7 Stipsicz, András I. 6 Bombín, Héctor 6 Cavicchioli, Alberto 6 Cui, Shawn Xingshan 6 Edmonds, Allan L. 6 El Naschie, Mohamed Saladin 6 Fang, Fuquan 6 Funar, Louis 6 Gadgil, Siddhartha 6 Ge, Molin 6 Guilbault, Craig R. 6 Harvey, Shelly L. 6 Hu, Taotao 6 Kato, Tsuyoshi 6 Kim, Min Hoon 6 Kim, Taehee 6 Lewark, Lukas 6 Manolescu, Ciprian 6 Meier, Jeffrey 6 Nagasawa, Takeyuki 6 Rubinstein, J. Hyam 6 Schultz, Reinhard E. 6 Szabo, Zoltan 5 Bao, Ning 5 Calcut, Jack S. 5 Conant, James 5 Daverman, Robert J. 5 Davis, Christopher William 5 Frahm, Holger 5 Haah, Jeongwan 5 Harper, Jonathan 5 Hass, Joel 5 Hedden, Matthew 5 Hu, Yuting 5 Ishizeki, Aya 5 Kawauchi, Akio 5 Kirk, Paul A. 5 Komendarczyk, Rafal 5 Lu, Pinyan 5 Martin-Delgado, Miguel Angel 5 Naaijkens, Pieter 5 O’Hara, Jun 5 Pedraza, Juan F. 5 Rawdon, Eric J. 5 Reiter, Philipp 5 Saeki, Osamu 5 Sevenster, Bart 5 Simon, Jonathan K. 5 Sosinskiĭ, Alekseĭ Bronislavovich 5 Strzelecki, Paweł 5 Tange, Motoo 5 Venema, Gerard A. ...and 1,793 more Authors all top 5 Cited in 291 Serials 95 Topology and its Applications 91 Journal of High Energy Physics 71 Geometry & Topology 69 Algebraic & Geometric Topology 60 Transactions of the American Mathematical Society 59 Journal of Knot Theory and its Ramifications 49 Communications in Mathematical Physics 41 New Journal of Physics 39 Proceedings of the American Mathematical Society 38 Advances in Mathematics 33 Inventiones Mathematicae 30 Quantum Information Processing 28 Journal of Mathematical Physics 28 Mathematische Annalen 23 Geometriae Dedicata 23 Bulletin of the American Mathematical Society. New Series 21 Mathematische Zeitschrift 16 Journal of the American Mathematical Society 15 Duke Mathematical Journal 14 International Journal of Modern Physics B 14 Nuclear Physics. B 12 The Journal of Geometric Analysis 12 Annals of Physics 11 International Journal of Theoretical Physics 10 Mathematical Proceedings of the Cambridge Philosophical Society 10 Chaos, Solitons and Fractals 10 Journal of Geometry and Physics 10 Proceedings of the Steklov Institute of Mathematics 10 Journal of Topology and Analysis 9 Michigan Mathematical Journal 9 European Journal of Combinatorics 9 International Journal of Quantum Information 9 Journal of Statistical Mechanics: Theory and Experiment 8 Israel Journal of Mathematics 8 Physics Letters. A 8 Compositio Mathematica 8 Manuscripta Mathematica 8 Experimental Mathematics 8 Selecta Mathematica. New Series 8 Annals of Mathematics. Second Series 8 Journal of Physics A: Mathematical and Theoretical 8 Journal of Topology 6 International Journal of Modern Physics A 6 Reviews in Mathematical Physics 6 Journal of Algebra 6 Journal für die Reine und Angewandte Mathematik 6 Annals of Global Analysis and Geometry 6 International Journal of Mathematics 6 Linear Algebra and its Applications 6 Calculus of Variations and Partial Differential Equations 6 Russian Journal of Mathematical Physics 5 Journal of Combinatorial Theory. Series B 5 Journal of Geometry 5 Ergodic Theory and Dynamical Systems 5 Geometric and Functional Analysis. GAFA 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Physical Review Letters 5 International Journal of Geometric Methods in Modern Physics 5 Studies in History and Philosophy of Science. Part B. Studies in History and Philosophy of Modern Physics 5 Forum of Mathematics, Sigma 4 Archive for Rational Mechanics and Analysis 4 Bulletin of the Australian Mathematical Society 4 Letters in Mathematical Physics 4 Reviews of Modern Physics 4 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 4 Bulletin of the London Mathematical Society 4 Journal of Graph Theory 4 Journal of the London Mathematical Society. Second Series 4 Kodai Mathematical Journal 4 Pacific Journal of Mathematics 4 SIAM Journal on Computing 4 Theoretical Computer Science 4 Journal of Mathematical Sciences (New York) 4 Conformal Geometry and Dynamics 4 Journal of the European Mathematical Society (JEMS) 4 Communications in Contemporary Mathematics 4 Annales Henri Poincaré 4 Physical Review A, Third Series 4 Quantum Topology 4 Winter Braids Lecture Notes 3 Modern Physics Letters A 3 Discrete Mathematics 3 General Relativity and Gravitation 3 Mathematical Notes 3 Physics Letters. B 3 Physics Reports 3 Theoretical and Mathematical Physics 3 Acta Mathematica 3 Applied Mathematics and Computation 3 Canadian Mathematical Bulletin 3 Glasgow Mathematical Journal 3 Journal of Combinatorial Theory. Series A 3 Osaka Journal of Mathematics 3 Siberian Mathematical Journal 3 Acta Mathematica Hungarica 3 Revista Matemática Iberoamericana 3 Differential Geometry and its Applications 3 MSCS. Mathematical Structures in Computer Science 3 Proceedings of the National Academy of Sciences of the United States of America 3 Expositiones Mathematicae ...and 191 more Serials all top 5 Cited in 55 Fields 885 Manifolds and cell complexes (57-XX) 424 Quantum theory (81-XX) 206 Differential geometry (53-XX) 119 Group theory and generalizations (20-XX) 112 Statistical mechanics, structure of matter (82-XX) 92 Combinatorics (05-XX) 85 Relativity and gravitational theory (83-XX) 77 Algebraic topology (55-XX) 74 Computer science (68-XX) 72 Global analysis, analysis on manifolds (58-XX) 71 Algebraic geometry (14-XX) 50 Category theory; homological algebra (18-XX) 48 Dynamical systems and ergodic theory (37-XX) 39 Associative rings and algebras (16-XX) 38 Functions of a complex variable (30-XX) 38 Functional analysis (46-XX) 37 Several complex variables and analytic spaces (32-XX) 36 Partial differential equations (35-XX) 33 General topology (54-XX) 31 Information and communication theory, circuits (94-XX) 29 Calculus of variations and optimal control; optimization (49-XX) 24 Ordinary differential equations (34-XX) 22 Convex and discrete geometry (52-XX) 19 Nonassociative rings and algebras (17-XX) 18 Number theory (11-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 17 \(K\)-theory (19-XX) 17 Fluid mechanics (76-XX) 16 History and biography (01-XX) 14 Mathematical logic and foundations (03-XX) 14 Topological groups, Lie groups (22-XX) 14 Probability theory and stochastic processes (60-XX) 13 Measure and integration (28-XX) 13 Geometry (51-XX) 10 Statistics (62-XX) 10 Numerical analysis (65-XX) 9 General and overarching topics; collections (00-XX) 9 Commutative algebra (13-XX) 9 Mechanics of particles and systems (70-XX) 9 Biology and other natural sciences (92-XX) 9 Systems theory; control (93-XX) 8 Operator theory (47-XX) 8 Optics, electromagnetic theory (78-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Mechanics of deformable solids (74-XX) 4 Operations research, mathematical programming (90-XX) 3 Approximations and expansions (41-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Astronomy and astrophysics (85-XX) 2 Abstract harmonic analysis (43-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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