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Cited by 237

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Fermionic symmetry protected topological phases and cobordisms

Kapustin, Anton, Thorngren, Ryan, Turzillo, Alex, Wang, Zitao·2015·Journal of High Energy Physics
DOI 10.1007/jhep12(2015)052
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Research works printed but not linked: 20

  1. S. Ryu, A.P. Schnyder, A. Furusaki and A.W.W. Ludwig, Topological insulators and superconductors: Tenfold way and dimensional hierarchy, New J. Phys. 12 (2010) 065010 [ INSPIRE ]. · DOI · Paper page
  2. A. Kitaev, Periodic table for topological insulators and superconductors, AIP Conf. Proc. 1134 (2009) 22 [ arXiv:0901.2686 ] [ INSPIRE ]. · DOI · Paper page
  3. L. Fidkowski and A. Kitaev, Topological phases of fermions in one dimension, Phys. Rev. B 83 (2011) 075103 [ arXiv:1008.4138 ]. · DOI
  4. C. Wang and T. Senthil, Interacting fermionic topological insulators/superconductors in three dimensions, Phys. Rev. B 89 (2014) 195124 [ arXiv:1401.1142 ] [ INSPIRE ]. · DOI
  5. Z.C. Gu and M. Levin, The effect of interactions on 2D fermionic symmetry protected topological phases with Z 2 symmetry, Phys. Rev. B 89 (2014) 201113 [ arXiv:1304.4569 ]. · arXiv
  6. X. Chen, Z.-C. Gu, Z.-X. Liu and X.-G. Wen, Symmetry protected topological orders and the group cohomology of their symmetry group, Phys. Rev. B 87 (2013) 155114 [ arXiv:1106.4772 ] [ INSPIRE ]. · DOI
  7. Z.-C. Gu and X.-G. Wen, Symmetry-protected topological orders for interacting fermions: fermionic topological nonlinear σ models and a special group supercohomology theory, Phys. Rev. B 90 (2014) 115141 [ arXiv:1201.2648 ] [ INSPIRE ]. · arXiv
  8. L. Fidkowski, X. Chen and A. Vishwanath, Non-abelian topological order on the surface of a 3D topological superconductor from an exactly solved model, Phys. Rev. X 3 (2013) 041016. · DOI
  9. A. Kapustin, Symmetry protected topological phases, anomalies and cobordisms: beyond group cohomology, arXiv:1403.1467 [ INSPIRE ]. · arXiv
  10. A. Kapustin, Bosonic topological insulators and paramagnets: a view from cobordisms, arXiv:1404.6659 [ INSPIRE ]. · arXiv
  11. D. Cimasoni and N. Reshetikhin, Dimers on surface graphs and spin structures. I, Comm. Math. Phys. 275 (2007) 187 [ math-ph/0608070 ]. · DOI
  12. N. Read and D. Green, Paired states of fermions in two-dimensions with breaking of parity and time reversal symmetries and the fractional quantum Hall effect, Phys. Rev. B 61 (2000) 10267 [ cond-mat/9906453 ] [ INSPIRE ]. · DOI
  13. J. Milnor and J Stasheff, Characteristic classes, Princeton University Press, Princeton U.S.A. (1974). · DOI
  14. X. Chen, Y-M. Li and A. Vishwanath, Symmetry protected topological phases from decorated domain walls, Nature Commun. 5 (2014) 3507 [ arXiv:1303.4301 ]. · DOI
  15. D.W. Anderson, E.H. Brown Jr. and F.P. Peterson, The structure of the Spin cobordism ring, Ann. Math. 86 (1967) 271. · DOI · Paper page
  16. D.W. Anderson et al., Pin cobordism and related topics, Comment. Math. Helv. 44 (1969) 462. · DOI
  17. R. Kirby and L. Taylor, A calculation of Pin + bordism groups, Comment. Math. Helv. 65 (1990) 434. · DOI
  18. E.H. Brown Jr., Generalizations of the Kervaire Invariant, Ann. Math. 95 (1972) 368. · DOI
  19. S. Stolz, Exotic structures on 4-manifolds detected by spectral invariants, Inv. Math. 94 (1988) 147. · DOI
  20. R. Blumenhagen, D. Lüst and S. Theisen, Basic concepts of string theory, Springer Germany (2013). · DOI

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Metadata

Authors
Kapustin, A., Thorngren, R., Turzillo, A., & Wang, Z.
Venue
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Published
2015-12
Volume
2015
Issue
12
Pages
1-21
ISSN
1029-8479
DOI
10.1007/jhep12(2015)052
Cited by
237
References
0
Language
en

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CoChat. (2026). Citation check: Fermionic symmetry protected topological phases and cobordisms. https://app.cochat.ai/papers/10.1007/jhep12(2015)052
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Kapustin, A., Thorngren, R., Turzillo, A., & Wang, Z. (2015). Fermionic symmetry protected topological phases and cobordisms. Journal of High Energy Physics. https://doi.org/10.1007/jhep12(2015)052

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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.