Fermionic Finite-Group Gauge Theories and Interacting Symmetric/Crystalline Orders via Cobordisms

D. W. Anderson, E. Brown and F. P. Peterson, The structure of the spin cobordism ring , Annals of Mathematics 271–298 (1967)

1967

Earlier work this paper cites.

N. Sato, Cobordisms of semi-boundary links , Topology and its Applications 18

1984

Earlier work this paper cites.

T. D. Cochran, On an invariant of link cobordism in dimension four , Topology and its Applications 18

1984

Earlier work this paper cites.

M. Atiyah, Topological quantum field theories , Publications Mathématiques de l’Institut des Hautes Études Scientifiques 68

1988

Earlier work this paper cites.

E. Witten, Quantum Field Theory and the Jones Polynomial , Commun. Math. Phys. 121

1989

Earlier work this paper cites.

R. C. Kirby and L. R. Taylor, Pin structures on low-dimensional manifolds , Geometry of low-dimensional manifolds 2

1990

Earlier work this paper cites.

R. Dijkgraaf and E. Witten, Topological Gauge Theories and Group Cohomology , Commun. Math. Phys. 129

1990

Earlier work this paper cites.

R. Kirby and P. Melvin, The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl(2,C) , Inventiones mathematicae 105

1991

Earlier work this paper cites.

N. Reshetikhin and V. G. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups , Inventiones mathematicae 103

1991

Earlier work this paper cites.

C. Blanchet, Invariants on three-manifolds with spin structure , Commentarii Mathematici Helvetici 67

1992

Earlier work this paper cites.

D. S. Freed and F. Quinn, Chern-Simons theory with finite gauge group , Commun. Math. Phys. 156

1993

Earlier work this paper cites.

M. Saito, On the unoriented sato-levine invariant , Journal of Knot Theory and Its Ramifications 2

1993

Earlier work this paper cites.

PhD thesis, University of Notre Dame, 1995

C.-Y. Yu, The connective real K-theory of elementary abelian 2-groups · 1995

Earlier work this paper cites.

C. Blanchet, G. Masbaum et al., Topological quantum field theories for surfaces with spin structure , Duke Mathematical Journal 82

1996

Earlier work this paper cites.

M. Khovanov, A categorification of the jones polynomial , arXiv preprint math/9908171 (1999)

1999

Earlier work this paper cites.

A. Y. Kitaev, 6. QUANTUM COMPUTING: Unpaired Majorana fermions in quantum wires , Physics Uspekhi 44

2001

Earlier work this paper cites.

R. Kirby and P. Melvin, Local surgery formulas for quantum invariants and the arf invariant , arXiv preprint math/0410358 (2004)

2004

Earlier work this paper cites.

A. Kitaev, Periodic table for topological insulators and superconductors , AIP Conf. Proc. 1134

Original

2009

Earlier work this paper cites.

No. 169. American Mathematical Soc., 2010

R. R. Bruner and J. P. C. Greenlees, Connective real K-theory of finite groups · 2010

Earlier work this paper cites.

L. Fidkowski and A. Kitaev, Effects of interactions on the topological classification of free fermion systems , Phys. Rev. B 81

Original

2010

Earlier work this paper cites.

L. Fu, Topological Crystalline Insulators , Phys.Rev.Lett 106

Original

2011

Earlier work this paper cites.

J. Lurie, “Finiteness and ambidexterity in k(n)-local stable homotopy theory.” Lectures at Notre Dame Graduate Summer School on Topology and Field Theories, 2012

2012

Cited alongside, same era.

A. Beliakova, C. Blanchet and E. Contreras, Spin modular categories , arXiv preprint arXiv:1411.4232 (2014)

Original

2014

Cited alongside, same era.

X. Chen, Y.-M. Lu and A. Vishwanath, Symmetry-protected topological phases from decorated domain walls , Nature Communications 5

Original

2014

Cited alongside, same era.

A. Kapustin, R. Thorngren, A. Turzillo and Z. Wang, Fermionic Symmetry Protected Topological Phases and Cobordisms , JHEP 12

Original

2015

Cited alongside, same era.

J. Wang and X.-G. Wen, Non-Abelian string and particle braiding in topological order: Modular SL(3, ℤ \mathbb{Z} ) representation and (3+1) -dimensional twisted gauge theory , Phys. Rev. B91

H. Song, S.-J. Huang, L. Fu and M. Hermele, Topological Phases Protected by Point Group Symmetry , Physical Review X 7

Original

2017

Later among the works it cites.

S.-J. Huang, H. Song, Y.-P. Huang and M. Hermele, Building crystalline topological phases from lower-dimensional states , Physical Review B 96

Original

2017

Later among the works it cites.

A. Kapustin and R. Thorngren, Fermionic SPT phases in higher dimensions and bosonization , JHEP 10

Original

2017

Later among the works it cites.

C. Wang, C.-H. Lin and Z.-C. Gu, Interacting fermionic symmetry-protected topological phases in two dimensions , Phys. Rev. B 95

Original

2017

Later among the works it cites.

A. Tiwari, X. Chen and S. Ryu, Wilson operator algebras and ground states of coupled BF theories , Phys. Rev. B95