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Freedman, Michael Hartley

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Author ID: freedman.michael-hartley Recent zbMATH articles by "Freedman, Michael Hartley"
Published as: Freedman, Michael H.; Freedman, Michael; Freedman, Michael Hartley; Freedman, M.; Freedman, Michael; Freedman, M. H.
Homepage: http://stationq.cnsi.ucsb.edu/~freedman/
External Links: Celebratio Mathematica · MacTutor · MGP · Wikidata · dblp · GND · IdRef
Awards: Fields Medal (1986)
Documents Indexed: 121 Publications since 1975, including 3 Books
3 Further Contributions
Biographic References: 2 Publications
Co-Authors: 68 Co-Authors with 80 Joint Publications
1,406 Co-Co-Authors
all top 5

Co-Authors

38 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
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 Bryson, Steve
1 Casson, Andrew J.
1 Chow, Bennett
1 Conder, Marsteon
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
1 Zini, Modjtaba Shokrian
1 Zuddas, Daniele
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 Topology
2 Quantum Topology
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
1 Peking Mathematical Journal

Publications by Year

Citations contained in zbMATH Open

94 Publications have been cited 1,926 times in 1,480 Documents Cited by Year
The topology of four-dimensional manifolds. Zbl 0528.57011
Freedman, Michael Hartley
393
1982
Topology of 4-manifolds. Zbl 0705.57001
Freedman, Michael H.; Quinn, Frank S.
245
1990
Non-abelian anyons and topological quantum computation. Zbl 1205.81062
Nayak, Chetan; Simon, Steven H.; Stern, Ady; Freedman, Michael; Das Sarma, Sankar
178
2008
Möbius energy of knots and unknots. Zbl 0817.57011
Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan
77
1994
Reflection positivity, rank connectivity, and homomorphism of graphs. Zbl 1107.05089
Freedman, Michael; Lovász, László; Schrijver, Alexander
66
2007
Topological quantum computation. Zbl 1019.81008
Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.; Wang, Zhenghan
66
2003
Least area incompressible surfaces in 3-manifolds. Zbl 0482.53045
Freedman, Michael; Hass, Joel; Scott, Peter
64
1983
A modular functor which is universal for quantum computation. Zbl 1012.81007
Freedman, Michael H.; Larsen, Michael; Wang, Zhenghan
57
2002
Bit threads and holographic entanglement. Zbl 1425.81014
Freedman, Michael; Headrick, Matthew
48
2017
Simulation of topological field theories by quantum computers. Zbl 1014.81006
Freedman, Michael H.; Kitaev, Alexei; Wang, Zhenghan
46
2002
4-manifold topology. I: Subexponential groups. Zbl 0857.57017
Freedman, Michael H.; Teichner, Peter
34
1995
Divergence-free fields: Energy and asymptotic crossing number. Zbl 0746.57011
Freedman, Michael H.; He, Zhengxu
33
1991
The two-eigenvalue problem and density of Jones representation of braid groups. Zbl 1045.20027
Freedman, Michael H.; Larsen, Michael J.; Wang, Zhenghan
33
2002
Man and machine thinking about the smooth 4-dimensional Poincaré conjecture. Zbl 1236.57043
Freedman, Michael H.; Gompf, Robert E.; Morrison, Scott; Walker, Kevin
24
2010
P/NP, and the quantum field computer. Zbl 0895.68053
Freedman, Michael H.
22
1998
A decomposition theorem for \(h\)-cobordant smooth simply-connected compact \(4\)-manifolds. Zbl 0843.57020
Curtis, C. L.; Freedman, M. H.; Hsiang, W. C.; Stong, R.
21
1996
Van Kampen’s embedding obstruction is incomplete for 2-complexes in \(\mathbb{R}^ 4\). Zbl 0847.57005
Freedman, Michael H.; Krushkal, Vyacheslav S.; Teichner, Peter
20
1994
Closed geodesics on surfaces. Zbl 0476.53026
Freedman, Michael; Hass, Joel; Scott, Peter
19
1982
A Poincaré-Lindstedt approach to bifurcation problems for differential- delay equations. Zbl 0437.34058
Casal, A.; Freedman, M.
19
1980
Kneser-Haken finiteness for bounded 3-manifolds, locally free groups, and cyclic covers. Zbl 0896.57012
Freedman, Benedict; Freedman, Michael H.
18
1998
4-manifold topology. II: Dwyer’s filtration and surgery kernels. Zbl 0857.57018
Freedman, Michael H.; Teichner, Peter
18
1995
Projective plane and planar quantum codes. Zbl 0995.94037
Freedman, Michael H.; Meyer, David A.
17
2001
Quantum \(SU(2)\) faithfully detects mapping class groups modulo center. Zbl 1037.57024
Freedman, Michael H.; Walker, Kevin; Wang, Zhenghan
17
2002
Strange actions of groups on spheres. Zbl 0588.57024
Freedman, Michael H.; Skora, Richard
17
1987
A class of \(P,T\)-invariant topological phases of interacting electrons. Zbl 1057.81053
Freedman, Michael; Nayak, Chetan; Shtengel, Kirill; Walker, Kevin; Wang, Zhenghan
16
2004
Approximate counting and quantum computation. Zbl 1089.68040
Bordewich, M.; Freedman, M.; Lovász, L.; Welsh, D.
15
2005
Uncountably many exotic \(R^ 4\)’s in standard \(4\)-space. Zbl 0780.57012
DeMichelis, Stefano; Freedman, Michael H.
15
1992
A surgery sequence in dimension four; the relations with knot concordance. Zbl 0504.57016
Freedman, Michael H.
15
1982
Distortion in transformation groups (with an appendix by Yves de Cornulier). Zbl 1106.37017
Calegari, Danny; Freedman, Michael H.
14
2006
Quadruple points of 3-manifolds in \(S^4\). Zbl 0404.57011
Freedman, Michael H.
13
1978
\(Z_2\)-systolic freedom and quantum codes. Zbl 1075.81508
Freedman, Michael H.; Meyer, David A.; Luo, Feng
12
2002
A magnetic model with a possible Chern-Simons phase (with an appendix by F. Goodman and H. Wenzl). Zbl 1060.81054
Freedman, Michael H.
11
2003
A fake \(S^3\times R\). Zbl 0442.57014
Freedman, Michael Hartley
11
1979
The disk theorem for four-dimensional manifolds. Zbl 0577.57003
Freedman, Michael H.
11
1984
A new technique for the link slice problem. Zbl 0569.57002
Freedman, Michael H.
11
1985
On the \((A,B)\)-slice problem. Zbl 0845.57016
Freedman, Michael H.; Lin, Xiao-Song
9
1989
A geometric reformulation of 4-dimensional surgery. Zbl 0898.57005
Freedman, Michael H.
9
1986
\(\Gamma\)-splitting 4-manifolds. Zbl 0363.57004
Freedman, Michael H.; Taylor, Lawrence
9
1977
Atomic surgery problems. Zbl 0559.57008
Casson, Andrew; Freedman, Michael
8
1984
A geometric proof of Rochlin’s theorem. Zbl 0392.57018
Freedman, Michael; Kirby, Robion
8
1978
A universal smoothing of four-space. Zbl 0586.57007
Freedman, Michael H.; Taylor, Laurence R.
8
1986
Planes triply tangent to curves with nonvanishing torsion. Zbl 0438.53001
Freedman, Michael H.
8
1980
Möbius invariance of knot energy. Zbl 0776.57003
Bryson, Steve; Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan
7
1993
Positivity of the universal pairing in 3 dimensions. Zbl 1201.57024
Calegari, Danny; Freedman, Michael H.; Walker, Kevin
7
2010
Homotopically trivial symmetries of Haken manifolds are toral. Zbl 0515.57004
Freedman, Michael; Yau, Shing-Tung
7
1983
Universal manifold pairings and positivity. Zbl 1129.57035
Freedman, Michael H.; Kitaev, Alexei; Nayak, Chetan; Slingerland, Johannes K.; Walker, Kevin; Wang, Zhenghan
7
2005
Quantum computation and the localization of modular functors. Zbl 1004.57026
Freedman, Michael H.
6
2001
Measurement-only topological quantum computation. Zbl 1228.81121
Bonderson, Parsa; Freedman, Michael; Nayak, Chetan
6
2008
Whitehead\(_ 3\) is a “slice” link. Zbl 0678.57002
Freedman, Michael H.
6
1988
On the asymptotics of quantum SU(2) representations of mapping class groups. Zbl 1120.57014
Freedman, Michael; Krushkal, Vyacheslav
6
2006
Links of tori and the energy of incompressible flows. Zbl 0731.57003
Freedman, Michael H.; He, Zheng-Xu
6
1991
Quantum max-flow/min-cut. Zbl 1341.90014
Cui, Shawn X.; Freedman, Michael H.; Sattath, Or; Stong, Richard; Minton, Greg
6
2016
Measurement-only topological quantum computation via anyonic interferometry. Zbl 1171.81004
Bonderson, Parsa; Freedman, Michael; Nayak, Chetan
5
2009
A note on topology and magnetic energy in incompressible perfectly conducting fluids. Zbl 0676.76095
Freedman, Michael H.
5
1988
Geometric complexity of embeddings in \(\mathbb R^d\). Zbl 1366.57013
Freedman, Michael; Krushkal, Vyacheslav
5
2014
Double semions in arbitrary dimension. Zbl 1350.81028
Freedman, Michael H.; Hastings, Matthew B.
4
2016
There is no room to spare in four-dimensional space. Zbl 0538.57001
Freedman, Michael
4
1984
Factoring the logarithmic spiral. Zbl 0622.30011
Freedman, Michael H.; He, Z.-X.
4
1988
Are the Borromean rings A-B-slice. Zbl 0627.57004
Freedman, Michael H.
4
1986
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 0691.57001
Freedman, Michael H.; Luo, Feng
4
1989
From string nets to nonabelions. Zbl 1196.82072
Fidkowski, Lukasz; Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
4
2009
Slightly singular 4-manifolds. Zbl 0459.57008
Freedman, Michael; Quinn, Frank
4
1981
Topological views on computational complexity. Zbl 0967.68520
Freedman, Michael H.
4
1998
Classification of quantum cellular automata. Zbl 1447.81024
Freedman, Michael; Hastings, Matthew B.
4
2020
Curvature growth of some 4-dimensional gradient Ricci soliton singularity models. Zbl 1445.53067
Chow, Bennett; Freedman, Michael; Shin, Henry; Zhang, Yongjia
4
2020
Interferometric versus projective measurement of anyons. Zbl 1372.81140
Levaillant, Claire; Freedman, Michael
4
2015
Link compositions and the topological slice problem. Zbl 0782.57010
Freedman, Michael H.
3
1993
Uniqueness theorems for taut submanifolds. Zbl 0357.57004
Freedman, Michael
3
1976
Une obstruction élémentaire à l’existence d’une action continue de groupe dans une variété. Zbl 0373.57021
Freedman, Michael; Meeks, H. William III
3
1978
Complexity classes as mathematical axioms. Zbl 1178.03069
Freedman, Michael H.
3
2009
Engel relations in 4-manifold topology. Zbl 1366.57010
Freedman, Michael; Krushkal, Vyacheslav
3
2016
Topological arbiters. Zbl 1242.57018
Freedman, Michael; Krushkal, Vyacheslav
2
2012
Poincaré transversality and four-dimensional surgery. Zbl 0654.57007
Freedman, Michael H.
2
1988
Extension of incompressible surfaces on the boundaries of 3-manifolds. Zbl 1015.57010
Freedman, Michael; Howards, Hugh; Wu, Ying-Qing
2
2000
On picture \((2+1)\)-TQFTs. Zbl 1168.81024
Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
2
2008
Limit, logic, and computation. Zbl 0891.68041
Freedman, Michael H.
2
1998
Percolation on the projective plane. Zbl 0902.60085
Freedman, Michael H.
2
1997
\(\mathbb{Z}_2\)-systolic-freedom. Zbl 1024.53029
Freedman, Michael H.
2
1999
Surgery on codimension 2 submanifolds. Zbl 0369.57012
Freedman, Michael H.
2
1977
A quick proof of the 4-dimensional stable surgery theorem. Zbl 0453.57024
Freedman, Michael; Quinn, Frank
2
1980
\(k\)-sat on groups and undecidability. Zbl 1028.68068
Freedman, Michael H.
2
1998
Diameters of homogeneous spaces. Zbl 1029.22031
Freedman, Michael H.; Kitaev, Alexei; Lurie, Jacob
1
2003
Problem-solving and selected topics in Euclidean geometry. In the spirit of the mathematical olympiads. With a foreword by Michael H. Freedman. Zbl 1273.51002
Louridas, Sotirios E.; Rassias, Michael T.
1
2013
An unknotting result for complete minimal surfaces in \(\mathbb{R}^ 3\). Zbl 0773.53003
Freedman, Michael H.
1
1992
Complexity classes as mathematical axioms. II. Zbl 1336.68088
Cui, Shawn X.; Freedman, Michael H.; Wang, Zhenghan
1
2016
Zeldovich’s neutron star and the prediction of magnetic froth. Zbl 0973.76097
Freedman, Michael H.
1
1999
Topological phases: an expedition off lattice. Zbl 1221.81219
Freedman, Michael H.; Gamper, Lukas; Gils, Charlotte; Isakov, Sergei V.; Trebst, Simon; Troyer, Matthias
1
2011
Equivariant isotopy of unknots to round circles. Zbl 0830.53002
Freedman, Michael H.; Luo, Feng
1
1995
\(CP^ 2\)-stable theory. Zbl 0849.57016
Freedman, Michael H.; Wang, Zhenghan
1
1994
Covering a nontaming knot by the unlink. Zbl 1158.57024
Freedman, Michael H.; Gabai, David
1
2007
A conservative Dehn’s lemma. Zbl 0525.57005
Freedman, Michael H.
1
1983
Quantum computing with octonions. Zbl 1457.81024
Freedman, Michael; Shokrian-Zini, Modjtaba; Wang, Zhenghan
1
2019
Building manifolds from quantum codes. Zbl 1485.53115
Freedman, Michael; Hastings, Matthew
1
2021
Poly-locality in quantum computing. Zbl 1075.81507
Freedman, Michael H.
1
2002
Building manifolds from quantum codes. Zbl 1485.53115
Freedman, Michael; Hastings, Matthew
1
2021
Classification of quantum cellular automata. Zbl 1447.81024
Freedman, Michael; Hastings, Matthew B.
4
2020
Curvature growth of some 4-dimensional gradient Ricci soliton singularity models. Zbl 1445.53067
Chow, Bennett; Freedman, Michael; Shin, Henry; Zhang, Yongjia
4
2020
Quantum computing with octonions. Zbl 1457.81024
Freedman, Michael; Shokrian-Zini, Modjtaba; Wang, Zhenghan
1
2019
Bit threads and holographic entanglement. Zbl 1425.81014
Freedman, Michael; Headrick, Matthew
48
2017
Quantum max-flow/min-cut. Zbl 1341.90014
Cui, Shawn X.; Freedman, Michael H.; Sattath, Or; Stong, Richard; Minton, Greg
6
2016
Double semions in arbitrary dimension. Zbl 1350.81028
Freedman, Michael H.; Hastings, Matthew B.
4
2016
Engel relations in 4-manifold topology. Zbl 1366.57010
Freedman, Michael; Krushkal, Vyacheslav
3
2016
Complexity classes as mathematical axioms. II. Zbl 1336.68088
Cui, Shawn X.; Freedman, Michael H.; Wang, Zhenghan
1
2016
Interferometric versus projective measurement of anyons. Zbl 1372.81140
Levaillant, Claire; Freedman, Michael
4
2015
Geometric complexity of embeddings in \(\mathbb R^d\). Zbl 1366.57013
Freedman, 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 1273.51002
Louridas, Sotirios E.; Rassias, Michael T.
1
2013
Topological arbiters. Zbl 1242.57018
Freedman, Michael; Krushkal, Vyacheslav
2
2012
Topological phases: an expedition off lattice. Zbl 1221.81219
Freedman, 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 1236.57043
Freedman, Michael H.; Gompf, Robert E.; Morrison, Scott; Walker, Kevin
24
2010
Positivity of the universal pairing in 3 dimensions. Zbl 1201.57024
Calegari, Danny; Freedman, Michael H.; Walker, Kevin
7
2010
Measurement-only topological quantum computation via anyonic interferometry. Zbl 1171.81004
Bonderson, Parsa; Freedman, Michael; Nayak, Chetan
5
2009
From string nets to nonabelions. Zbl 1196.82072
Fidkowski, Lukasz; Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
4
2009
Complexity classes as mathematical axioms. Zbl 1178.03069
Freedman, Michael H.
3
2009
Non-abelian anyons and topological quantum computation. Zbl 1205.81062
Nayak, Chetan; Simon, Steven H.; Stern, Ady; Freedman, Michael; Das Sarma, Sankar
178
2008
Measurement-only topological quantum computation. Zbl 1228.81121
Bonderson, Parsa; Freedman, Michael; Nayak, Chetan
6
2008
On picture \((2+1)\)-TQFTs. Zbl 1168.81024
Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
2
2008
Reflection positivity, rank connectivity, and homomorphism of graphs. Zbl 1107.05089
Freedman, Michael; Lovász, László; Schrijver, Alexander
66
2007
Covering a nontaming knot by the unlink. Zbl 1158.57024
Freedman, Michael H.; Gabai, David
1
2007
Distortion in transformation groups (with an appendix by Yves de Cornulier). Zbl 1106.37017
Calegari, Danny; Freedman, Michael H.
14
2006
On the asymptotics of quantum SU(2) representations of mapping class groups. Zbl 1120.57014
Freedman, Michael; Krushkal, Vyacheslav
6
2006
Approximate counting and quantum computation. Zbl 1089.68040
Bordewich, M.; Freedman, M.; Lovász, L.; Welsh, D.
15
2005
Universal manifold pairings and positivity. Zbl 1129.57035
Freedman, Michael H.; Kitaev, Alexei; Nayak, Chetan; Slingerland, Johannes K.; Walker, Kevin; Wang, Zhenghan
7
2005
A class of \(P,T\)-invariant topological phases of interacting electrons. Zbl 1057.81053
Freedman, Michael; Nayak, Chetan; Shtengel, Kirill; Walker, Kevin; Wang, Zhenghan
16
2004
Topological quantum computation. Zbl 1019.81008
Freedman, Michael H.; Kitaev, Alexei; Larsen, Michael J.; Wang, Zhenghan
66
2003
A magnetic model with a possible Chern-Simons phase (with an appendix by F. Goodman and H. Wenzl). Zbl 1060.81054
Freedman, Michael H.
11
2003
Diameters of homogeneous spaces. Zbl 1029.22031
Freedman, Michael H.; Kitaev, Alexei; Lurie, Jacob
1
2003
A modular functor which is universal for quantum computation. Zbl 1012.81007
Freedman, Michael H.; Larsen, Michael; Wang, Zhenghan
57
2002
Simulation of topological field theories by quantum computers. Zbl 1014.81006
Freedman, Michael H.; Kitaev, Alexei; Wang, Zhenghan
46
2002
The two-eigenvalue problem and density of Jones representation of braid groups. Zbl 1045.20027
Freedman, Michael H.; Larsen, Michael J.; Wang, Zhenghan
33
2002
Quantum \(SU(2)\) faithfully detects mapping class groups modulo center. Zbl 1037.57024
Freedman, Michael H.; Walker, Kevin; Wang, Zhenghan
17
2002
\(Z_2\)-systolic freedom and quantum codes. Zbl 1075.81508
Freedman, Michael H.; Meyer, David A.; Luo, Feng
12
2002
Poly-locality in quantum computing. Zbl 1075.81507
Freedman, Michael H.
1
2002
Projective plane and planar quantum codes. Zbl 0995.94037
Freedman, Michael H.; Meyer, David A.
17
2001
Quantum computation and the localization of modular functors. Zbl 1004.57026
Freedman, Michael H.
6
2001
Extension of incompressible surfaces on the boundaries of 3-manifolds. Zbl 1015.57010
Freedman, Michael; Howards, Hugh; Wu, Ying-Qing
2
2000
\(\mathbb{Z}_2\)-systolic-freedom. Zbl 1024.53029
Freedman, Michael H.
2
1999
Zeldovich’s neutron star and the prediction of magnetic froth. Zbl 0973.76097
Freedman, Michael H.
1
1999
P/NP, and the quantum field computer. Zbl 0895.68053
Freedman, Michael H.
22
1998
Kneser-Haken finiteness for bounded 3-manifolds, locally free groups, and cyclic covers. Zbl 0896.57012
Freedman, Benedict; Freedman, Michael H.
18
1998
Topological views on computational complexity. Zbl 0967.68520
Freedman, Michael H.
4
1998
Limit, logic, and computation. Zbl 0891.68041
Freedman, Michael H.
2
1998
\(k\)-sat on groups and undecidability. Zbl 1028.68068
Freedman, Michael H.
2
1998
Percolation on the projective plane. Zbl 0902.60085
Freedman, Michael H.
2
1997
A decomposition theorem for \(h\)-cobordant smooth simply-connected compact \(4\)-manifolds. Zbl 0843.57020
Curtis, C. L.; Freedman, M. H.; Hsiang, W. C.; Stong, R.
21
1996
4-manifold topology. I: Subexponential groups. Zbl 0857.57017
Freedman, Michael H.; Teichner, Peter
34
1995
4-manifold topology. II: Dwyer’s filtration and surgery kernels. Zbl 0857.57018
Freedman, Michael H.; Teichner, Peter
18
1995
Equivariant isotopy of unknots to round circles. Zbl 0830.53002
Freedman, Michael H.; Luo, Feng
1
1995
Möbius energy of knots and unknots. Zbl 0817.57011
Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan
77
1994
Van Kampen’s embedding obstruction is incomplete for 2-complexes in \(\mathbb{R}^ 4\). Zbl 0847.57005
Freedman, Michael H.; Krushkal, Vyacheslav S.; Teichner, Peter
20
1994
\(CP^ 2\)-stable theory. Zbl 0849.57016
Freedman, Michael H.; Wang, Zhenghan
1
1994
Möbius invariance of knot energy. Zbl 0776.57003
Bryson, Steve; Freedman, Michael H.; He, Zheng-Xu; Wang, Zhenghan
7
1993
Link compositions and the topological slice problem. Zbl 0782.57010
Freedman, Michael H.
3
1993
Uncountably many exotic \(R^ 4\)’s in standard \(4\)-space. Zbl 0780.57012
DeMichelis, Stefano; Freedman, Michael H.
15
1992
An unknotting result for complete minimal surfaces in \(\mathbb{R}^ 3\). Zbl 0773.53003
Freedman, Michael H.
1
1992
Divergence-free fields: Energy and asymptotic crossing number. Zbl 0746.57011
Freedman, Michael H.; He, Zhengxu
33
1991
Links of tori and the energy of incompressible flows. Zbl 0731.57003
Freedman, Michael H.; He, Zheng-Xu
6
1991
Topology of 4-manifolds. Zbl 0705.57001
Freedman, Michael H.; Quinn, Frank S.
245
1990
On the \((A,B)\)-slice problem. Zbl 0845.57016
Freedman, 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 0691.57001
Freedman, Michael H.; Luo, Feng
4
1989
Whitehead\(_ 3\) is a “slice” link. Zbl 0678.57002
Freedman, Michael H.
6
1988
A note on topology and magnetic energy in incompressible perfectly conducting fluids. Zbl 0676.76095
Freedman, Michael H.
5
1988
Factoring the logarithmic spiral. Zbl 0622.30011
Freedman, Michael H.; He, Z.-X.
4
1988
Poincaré transversality and four-dimensional surgery. Zbl 0654.57007
Freedman, Michael H.
2
1988
Strange actions of groups on spheres. Zbl 0588.57024
Freedman, Michael H.; Skora, Richard
17
1987
A geometric reformulation of 4-dimensional surgery. Zbl 0898.57005
Freedman, Michael H.
9
1986
A universal smoothing of four-space. Zbl 0586.57007
Freedman, Michael H.; Taylor, Laurence R.
8
1986
Are the Borromean rings A-B-slice. Zbl 0627.57004
Freedman, Michael H.
4
1986
A new technique for the link slice problem. Zbl 0569.57002
Freedman, Michael H.
11
1985
The disk theorem for four-dimensional manifolds. Zbl 0577.57003
Freedman, Michael H.
11
1984
Atomic surgery problems. Zbl 0559.57008
Casson, Andrew; Freedman, Michael
8
1984
There is no room to spare in four-dimensional space. Zbl 0538.57001
Freedman, Michael
4
1984
Least area incompressible surfaces in 3-manifolds. Zbl 0482.53045
Freedman, Michael; Hass, Joel; Scott, Peter
64
1983
Homotopically trivial symmetries of Haken manifolds are toral. Zbl 0515.57004
Freedman, Michael; Yau, Shing-Tung
7
1983
A conservative Dehn’s lemma. Zbl 0525.57005
Freedman, Michael H.
1
1983
The topology of four-dimensional manifolds. Zbl 0528.57011
Freedman, Michael Hartley
393
1982
Closed geodesics on surfaces. Zbl 0476.53026
Freedman, Michael; Hass, Joel; Scott, Peter
19
1982
A surgery sequence in dimension four; the relations with knot concordance. Zbl 0504.57016
Freedman, Michael H.
15
1982
Slightly singular 4-manifolds. Zbl 0459.57008
Freedman, Michael; Quinn, Frank
4
1981
A Poincaré-Lindstedt approach to bifurcation problems for differential- delay equations. Zbl 0437.34058
Casal, A.; Freedman, M.
19
1980
Planes triply tangent to curves with nonvanishing torsion. Zbl 0438.53001
Freedman, Michael H.
8
1980
A quick proof of the 4-dimensional stable surgery theorem. Zbl 0453.57024
Freedman, Michael; Quinn, Frank
2
1980
A fake \(S^3\times R\). Zbl 0442.57014
Freedman, Michael Hartley
11
1979
Quadruple points of 3-manifolds in \(S^4\). Zbl 0404.57011
Freedman, Michael H.
13
1978
A geometric proof of Rochlin’s theorem. Zbl 0392.57018
Freedman, Michael; Kirby, Robion
8
1978
Une obstruction élémentaire à l’existence d’une action continue de groupe dans une variété. Zbl 0373.57021
Freedman, Michael; Meeks, H. William III
3
1978
\(\Gamma\)-splitting 4-manifolds. Zbl 0363.57004
Freedman, Michael H.; Taylor, Lawrence
9
1977
Surgery on codimension 2 submanifolds. Zbl 0369.57012
Freedman, Michael H.
2
1977
Uniqueness theorems for taut submanifolds. Zbl 0357.57004
Freedman, Michael
3
1976
all top 5

Cited by 1,720 Authors

25 Wang, Zhenghan
24 Freedman, Michael Hartley
20 Rowell, Eric C.
16 Teichner, Peter
15 Xue, Kang
12 Cochran, Thomas (Tim) Daniel
12 Livingston, Charles
12 Schrijver, Alexander
11 Akhmedov, Anar
11 Hillman, Jonathan Arthur
11 Repovš, Dušan D.
11 Ruberman, Daniel
10 Cai, Jin-Yi
10 Kreck, Matthias
10 Krushkal, Vyacheslav S.
9 Aßelmeyer-Maluga, Torsten
9 Cha, Jae Choon
9 Friedl, Stefan
9 Gompf, Robert E.
9 Hambleton, Ian
9 Khan, Qayum
9 Kwasik, Sławomir
9 Park, B. Doug
9 Powell, Mark
9 Quinn, Frank S.
9 Regts, Guus
9 Skopenkov, Arkadiĭ Borisovich
8 Blatt, Simon
8 Hastings, Matthew B.
8 Headrick, Matthew
8 Kauffman, Louis Hirsch
8 Krol, Jerzy
8 Rasetti, Mario
8 Schneiderman, Rob
8 Sun, Chunfang
8 von der Mosel, Heiko
8 Wan, Yidun
8 Wang, Gangcheng
7 Feller, Peter
7 Hegenbarth, Friedrich
7 Lovász, László
7 Makowsky, Johann-Andreas
7 Marzuoli, Annalisa
7 Ray, Arunima
7 Scott, G. Peter
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 Guilbault, Craig R.
6 Harvey, Shelly L.
6 Hu, Taotao
6 Kim, Hee Jung
6 Kim, Min Hoon
6 Kim, Taehee
6 Lewark, Lukas
6 Manolescu, Ciprian
6 Nagasawa, Takeyuki
6 Nakamura, Nobuhiro
6 Park, Junghwan
6 Schultz, Reinhard E.
6 Stipsicz, András I.
6 Szabo, Zoltan
5 Bao, Ning
5 Calcut, Jack S.
5 Daverman, Robert J.
5 Davis, Christopher William
5 Frahm, Holger
5 Ge, Molin
5 Hass, Joel
5 Hedden, Matthew
5 Hu, Yuting
5 Ishizeki, Aya
5 Kato, Tsuyoshi
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 Rawdon, Eric J.
5 Reiter, Philipp
5 Rubinstein, J. Hyam
5 Saeki, Osamu
5 Sevenster, Bart
5 Simon, Jonathan K.
5 Sosinskiĭ, Alekseĭ Bronislavovich
5 Strzelecki, Paweł
5 Tange, Motoo
5 Venema, Gerard A.
5 Wagner, Uli
4 Akbulut, Selman
4 Auckly, David R.
4 Borodzik, Maciej
4 Bruillard, Paul
...and 1,620 more Authors
all top 5

Cited in 278 Serials

93 Topology and its Applications
72 Journal of High Energy Physics
61 Geometry & Topology
59 Transactions of the American Mathematical Society
57 Journal of Knot Theory and its Ramifications
56 Algebraic & Geometric Topology
46 Communications in Mathematical Physics
39 New Journal of Physics
37 Advances in Mathematics
37 Proceedings of the American Mathematical Society
33 Inventiones Mathematicae
28 Mathematische Annalen
26 Quantum Information Processing
25 Journal of Mathematical Physics
23 Geometriae Dedicata
23 Bulletin of the American Mathematical Society. New Series
21 Mathematische Zeitschrift
16 Journal of the American Mathematical Society
14 International Journal of Modern Physics B
14 Duke Mathematical Journal
11 International Journal of Theoretical Physics
11 Nuclear Physics. B
11 The Journal of Geometric Analysis
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
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 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
8 Journal of Topology and Analysis
7 Annals of Physics
6 International Journal of Modern Physics A
6 Journal of Algebra
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 Reviews in Mathematical Physics
5 Journal of Combinatorial Theory. Series B
5 Journal of Geometry
5 Journal für die Reine und Angewandte Mathematik
5 Geometric and Functional Analysis. GAFA
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
4 Bulletin of the Australian Mathematical Society
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 SIAM Journal on Computing
4 Ergodic Theory and Dynamical Systems
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
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 Physical Review A, Third Series
4 Quantum Topology
4 Forum of Mathematics, Sigma
3 Modern Physics Letters A
3 Archive for Rational Mechanics and Analysis
3 Discrete Mathematics
3 General Relativity and Gravitation
3 Letters in Mathematical Physics
3 Mathematical Notes
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 Pacific Journal of Mathematics
3 Siberian Mathematical Journal
3 Theoretical Computer Science
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
3 Boletim da Sociedade Brasileira de Matemática. Nova Série
3 Computational Complexity
3 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 Annales Henri Poincaré
...and 178 more Serials
all top 5

Cited in 55 Fields

832 Manifolds and cell complexes (57-XX)
371 Quantum theory (81-XX)
196 Differential geometry (53-XX)
114 Group theory and generalizations (20-XX)
95 Statistical mechanics, structure of matter (82-XX)
86 Combinatorics (05-XX)
80 Relativity and gravitational theory (83-XX)
72 Algebraic topology (55-XX)
69 Algebraic geometry (14-XX)
68 Global analysis, analysis on manifolds (58-XX)
68 Computer science (68-XX)
46 Category theory; homological algebra (18-XX)
45 Dynamical systems and ergodic theory (37-XX)
37 Associative rings and algebras (16-XX)
36 Functions of a complex variable (30-XX)
36 Several complex variables and analytic spaces (32-XX)
35 Functional analysis (46-XX)
31 General topology (54-XX)
30 Partial differential equations (35-XX)
29 Information and communication theory, circuits (94-XX)
27 Calculus of variations and optimal control; optimization (49-XX)
23 Ordinary differential equations (34-XX)
20 Convex and discrete geometry (52-XX)
19 Nonassociative rings and algebras (17-XX)
16 History and biography (01-XX)
16 Number theory (11-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
16 \(K\)-theory (19-XX)
16 Fluid mechanics (76-XX)
14 Mathematical logic and foundations (03-XX)
12 Topological groups, Lie groups (22-XX)
12 Measure and integration (28-XX)
12 Probability theory and stochastic processes (60-XX)
10 Geometry (51-XX)
9 General and overarching topics; collections (00-XX)
9 Commutative algebra (13-XX)
9 Statistics (62-XX)
9 Optics, electromagnetic theory (78-XX)
9 Biology and other natural sciences (92-XX)
9 Systems theory; control (93-XX)
8 Numerical analysis (65-XX)
7 Operator theory (47-XX)
7 Mechanics of particles and systems (70-XX)
6 Mechanics of deformable solids (74-XX)
4 Order, lattices, ordered algebraic structures (06-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

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