# zbMATH — the first resource for mathematics

## Walker, Kevin

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 Author ID: walker.kevin Published as: Walker, Kevin Homepage: http://canyon23.net/math/ External Links: MGP
 Documents Indexed: 16 Publications since 1990, including 1 Book
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#### Co-Authors

 2 single-authored 7 Freedman, Michael Hartley 5 Wang, Zhenghan 4 Morrison, Scott 4 Nayak, Chetan 1 Aasen, David 1 Barkeshli, Maissam 1 Bonderson, Parsa 1 Calegari, Danny Matthew Cornelius 1 Cheng, Meng 1 Clark, David Allan 1 Fidkowski, Lukasz M. 1 Gompf, Robert E. 1 Jian, Chao-Ming 1 Jones, Vaughan Frederick Randal 1 Kitaev, Alexei Yu. 1 Lake, Ethan 1 Shlyakhtenko, Dimitri L. 1 Shtengel, Kirill 1 Slingerland, Johannes K.
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#### Serials

 4 Geometry & Topology 2 Communications in Mathematical Physics 1 Journal of Mathematical Physics 1 Pacific Journal of Mathematics 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Annals of Physics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the American Mathematical Society. New Series 1 Annals of Mathematics Studies 1 Quantum Topology
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#### Fields

 11 Manifolds and cell complexes (57-XX) 6 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Category theory; homological algebra (18-XX) 3 Functional analysis (46-XX) 2 Differential geometry (53-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Algebraic topology (55-XX)

#### Citations contained in zbMATH Open

16 Publications have been cited 224 times in 202 Documents Cited by Year
An extension of Casson’s invariant. Zbl 0752.57011
Walker, Kevin
1992
Fixing the functoriality of Khovanov homology. Zbl 1169.57012
Clark, David; Morrison, Scott; Walker, Kevin
2009
Man and machine thinking about the smooth 4-dimensional Poincaré conjecture. Zbl 1236.57043
Freedman, Michael H.; Gompf, Robert E.; Morrison, Scott; Walker, Kevin
2010
An orthogonal approach to the subfactor of a planar algebra. Zbl 1195.46067
Jones, Vaughan; Shlyakhtenko, Dimitri; Walker, Kevin
2010
Quantum $$SU(2)$$ faithfully detects mapping class groups modulo center. Zbl 1037.57024
Freedman, Michael H.; Walker, Kevin; Wang, Zhenghan
2002
A class of $$P,T$$-invariant topological phases of interacting electrons. Zbl 1057.81053
Freedman, Michael; Nayak, Chetan; Shtengel, Kirill; Walker, Kevin; Wang, Zhenghan
2004
Blob homology. Zbl 1280.57026
Morrison, Scott; Walker, Kevin
2012
Reflection and time reversal symmetry enriched topological phases of matter: path integrals, non-orientable manifolds, and anomalies. Zbl 1439.82003
Barkeshli, Maissam; Bonderson, Parsa; Cheng, Meng; Jian, Chao-Ming; Walker, Kevin
2020
Positivity of the universal pairing in 3 dimensions. Zbl 1201.57024
Calegari, Danny; Freedman, Michael H.; Walker, Kevin
2010
Higher categories, colimits, and the blob complex. Zbl 1256.18007
Morrison, Scott; Walker, Kevin
2011
Fermion condensation and super pivotal categories. Zbl 1447.82013
Aasen, David; Lake, Ethan; Walker, Kevin
2019
Universal manifold pairings and positivity. Zbl 1129.57035
Freedman, Michael H.; Kitaev, Alexei; Nayak, Chetan; Slingerland, Johannes K.; Walker, Kevin; Wang, Zhenghan
2005
An extension of Casson’s invariant to rational homology spheres. Zbl 0699.57008
Walker, Kevin
1990
From string nets to nonabelions. Zbl 1196.82072
Fidkowski, Lukasz; Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
2009
On picture $$(2+1)$$-TQFTs. Zbl 1168.81024
Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
2008
The center of the extended Haagerup subfactor has 22 simple objects. Zbl 1368.46052
Morrison, Scott; Walker, Kevin
2017
Reflection and time reversal symmetry enriched topological phases of matter: path integrals, non-orientable manifolds, and anomalies. Zbl 1439.82003
Barkeshli, Maissam; Bonderson, Parsa; Cheng, Meng; Jian, Chao-Ming; Walker, Kevin
2020
Fermion condensation and super pivotal categories. Zbl 1447.82013
Aasen, David; Lake, Ethan; Walker, Kevin
2019
The center of the extended Haagerup subfactor has 22 simple objects. Zbl 1368.46052
Morrison, Scott; Walker, Kevin
2017
Blob homology. Zbl 1280.57026
Morrison, Scott; Walker, Kevin
2012
Higher categories, colimits, and the blob complex. Zbl 1256.18007
Morrison, Scott; Walker, Kevin
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
2010
An orthogonal approach to the subfactor of a planar algebra. Zbl 1195.46067
Jones, Vaughan; Shlyakhtenko, Dimitri; Walker, Kevin
2010
Positivity of the universal pairing in 3 dimensions. Zbl 1201.57024
Calegari, Danny; Freedman, Michael H.; Walker, Kevin
2010
Fixing the functoriality of Khovanov homology. Zbl 1169.57012
Clark, David; Morrison, Scott; Walker, Kevin
2009
From string nets to nonabelions. Zbl 1196.82072
Fidkowski, Lukasz; Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
2009
On picture $$(2+1)$$-TQFTs. Zbl 1168.81024
Freedman, Michael; Nayak, Chetan; Walker, Kevin; Wang, Zhenghan
2008
Universal manifold pairings and positivity. Zbl 1129.57035
Freedman, Michael H.; Kitaev, Alexei; Nayak, Chetan; Slingerland, Johannes K.; Walker, Kevin; Wang, Zhenghan
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
2004
Quantum $$SU(2)$$ faithfully detects mapping class groups modulo center. Zbl 1037.57024
Freedman, Michael H.; Walker, Kevin; Wang, Zhenghan
2002
An extension of Casson’s invariant. Zbl 0752.57011
Walker, Kevin
1992
An extension of Casson’s invariant to rational homology spheres. Zbl 0699.57008
Walker, Kevin
1990
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#### Cited by 273 Authors

 7 Penneys, David 5 Brothier, Arnaud 5 Caprau, Carmen Livia 5 Funar, Louis 5 Morrison, Scott 5 Rozansky, Lev 5 Snyder, Noah 4 Hartglass, Michael 4 Jones, Vaughan Frederick Randal 4 Lauda, Aaron D. 4 Queffelec, Hoel 3 Costantino, Francesco 3 Freedman, Michael Hartley 3 Kauffman, Louis Hirsch 3 Manion, Andrew 3 Maruyama, Noriko 3 Rose, David E. V. 3 Sunder, Viakalathur S. 2 Abe, Tetsuya 2 Agol, Ian 2 Ayala, David 2 Blanchet, Christian 2 Bonderson, Parsa 2 Cappell, Sylvain E. 2 Carqueville, Nils 2 Douglas, Christopher L. 2 Ellis, Alexander P. 2 Fendley, Paul 2 Francis, John 2 Hedden, Matthew 2 Ito, Tetsuya 2 Jones, Corey 2 Kaestner, Aaron M. 2 Kirby, Robion Cromwell 2 Kirk, Paul A. 2 Kodiyalam, Vijay 2 Lee, Ronnie 2 Lescop, Christine 2 Lewark, Lukas 2 Lidman, Tye 2 Lipshitz, Robert 2 Manolescu, Ciprian 2 Marché, Julien 2 Marengon, Marco 2 Miller, Edward Y. 2 Murakami, Hitoshi 2 Ni, Yi 2 Nicolaescu, Liviu I. 2 Ozsváth, Peter Steven 2 Pachos, Jiannis K. 2 Paul, Thierry 2 Peters, Emily 2 Reid, Alan W. 2 Runkel, Ingo 2 Sarkar, Sucharit 2 Sato, Chifumi 2 Schaumann, Gregor 2 Sivek, Steven 2 Sodano, Pasquale 2 Szabo, Zoltan 2 Trugenberger, Carlo A. 2 Tubbenhauer, Daniel 2 Vaz, Pedro 2 Weelinck, T. A. N. 2 Wehrli, Stephan M. 2 Zhang, Xingru 1 Aceto, Paolo 1 Akbulut, Selman 1 Altintas, Ismet 1 Andersen, Jørgen Ellegaard 1 Audoux, Benjamin 1 Baldwin, John A. 1 Banica, Teodor 1 Bansil, Arun 1 Bar-Natan, Dror 1 Bärenz, Manuel 1 Barkeshli, Maissam 1 Barter, Daniel 1 Bartocci, Claudio 1 Beliakova, Anna 1 Beverland, Michael E. 1 Bigelow, Stephen J. 1 Blasi, Alberto 1 Blau, Matthias 1 Boden, Hans U. 1 Braggio, Alessandro 1 Brennen Gavin, K. 1 Bridgeman, Jacob C. 1 Brochier, Adrien 1 Bruzzo, Ugo 1 Buerschaper, Oliver 1 Bullivant, Alex 1 Burman, Yurii 1 Burstein, Richard D. 1 Calcut, Jack S. 1 Calegari, Danny Matthew Cornelius 1 Cappelli, Andrea 1 Carfora, Mauro 1 Carrega, Matteo 1 Celoria, Daniele ...and 173 more Authors
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#### Cited in 70 Serials

 16 Journal of Knot Theory and its Ramifications 15 Advances in Mathematics 14 Geometry & Topology 12 Communications in Mathematical Physics 12 Algebraic & Geometric Topology 9 Topology and its Applications 7 Journal of Mathematical Physics 7 Journal of Functional Analysis 6 Proceedings of the American Mathematical Society 5 Transactions of the American Mathematical Society 5 Bulletin of the American Mathematical Society. New Series 5 Quantum Topology 4 Compositio Mathematica 3 International Journal of Modern Physics B 3 Mathematical Proceedings of the Cambridge Philosophical Society 3 Duke Mathematical Journal 3 Journal of the American Mathematical Society 3 Annals of Physics 2 Communications on Pure and Applied Mathematics 2 Nuclear Physics. B 2 Journal of Geometry and Physics 2 Geometriae Dedicata 2 Journal of Algebra 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Michigan Mathematical Journal 2 International Journal of Mathematics 2 Journal of Mathematical Sciences (New York) 2 New Journal of Physics 2 Winter Braids Lecture Notes 1 Indian Journal of Pure & Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Reviews of Modern Physics 1 Acta Mathematica 1 Canadian Mathematical Bulletin 1 Glasgow Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Tokyo Journal of Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Algebraic Combinatorics 1 Selecta Mathematica. New Series 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Annals of Mathematics. Second Series 1 Communications in Contemporary Mathematics 1 Journal of High Energy Physics 1 Physical Review Letters 1 Journal of the Institute of Mathematics of Jussieu 1 Proceedings of the Steklov Institute of Mathematics 1 The European Physical Journal B. Condensed Matter and Complex Systems 1 Groups, Geometry, and Dynamics 1 Journal of Topology 1 Japanese Journal of Mathematics. 3rd Series 1 Applied General Topology 1 Physical Review B 1 ISRN Geometry 1 Journal of Mathematics 1 Open Mathematics 1 Proceedings of the American Mathematical Society. Series B 1 1 Higher Structures
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#### Cited in 33 Fields

 138 Manifolds and cell complexes (57-XX) 42 Quantum theory (81-XX) 29 Category theory; homological algebra (18-XX) 27 Functional analysis (46-XX) 16 Group theory and generalizations (20-XX) 14 Algebraic topology (55-XX) 13 Associative rings and algebras (16-XX) 11 Differential geometry (53-XX) 11 Statistical mechanics, structure of matter (82-XX) 10 Nonassociative rings and algebras (17-XX) 9 Combinatorics (05-XX) 7 Number theory (11-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Algebraic geometry (14-XX) 4 Relativity and gravitational theory (83-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Operator theory (47-XX) 2 History and biography (01-XX) 2 Commutative algebra (13-XX) 2 $$K$$-theory (19-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Mathematical logic and foundations (03-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Operations research, mathematical programming (90-XX)