Fetching the paper…
Reading the bibliography…
The Arf-Brown invariant $\mathit{AB}(\Sigma)$ is an 8th root of unity associated to a surface $\Sigma$ equipped with a pin$^-$ structure.
Loop groups and twisted K K -theory I
Daniel S. Freed, Michael J. Hopkins, and Constantin Teleman · 1906
Earlier work this paper cites.
Quelques propriétés globales des variétés differentiables
René Thom · 1954
Earlier work this paper cites.
Gladkie mnogoobraziya i ih primeneniya v teorii gomotopiĭ
L. S. Pontryagin · 1955
Earlier work this paper cites.
Thom complexes
M. F. Atiyah · 1961
Earlier work this paper cites.
Cohomology theories
Edgar H. Brown · 1962
Earlier work this paper cites.
Clifford modules
M.F. Atiyah, R. Bott, and A. Shapiro · 1964
Earlier work this paper cites.
SU \mathrm{SU} -corbodism, 𝐾𝑂 \mathit{KO} -characteristic numbers, and the Kervaire invariant
D. W. Anderson, E. H. Brown, and F. P. Peterson · 1966
Earlier work this paper cites.
Introduction to bicategories
Jean Bénabou · 1967
Earlier work this paper cites.
Riemann surfaces and spin structures
Michael F. Atiyah · 1971
Earlier work this paper cites.
The Kervaire invariant of a manifold
Edgar H. Brown, Jr · 1971
Earlier work this paper cites.
Stable Homotopy and Generalized Homology
J.F. Adams · 1974
Earlier work this paper cites.
Pontrjagin duality for generalized homology and cohomology theories
Edgar H. Brown and Michael Comenetz · 1976
Earlier work this paper cites.
Infinite Loop Spaces
J.F. Adams · 1978
Earlier work this paper cites.
Spin structures and quadratic forms on surfaces
Dennis Johnson · 1980
Earlier work this paper cites.
Topological quantum field theories
Michael Atiyah · 1988
Earlier work this paper cites.
The Definition of Conformal Field Theory
G. B. Segal · 1988
Earlier work this paper cites.
Exotic structures on 4-manifolds detected by spectral invariants
Stephan Stolz · 1988
Earlier work this paper cites.
Topological gauge theories and group cohomology
Robbert Dijkgraaf and Edward Witten · 1990
Earlier work this paper cites.
𝑃𝑖𝑛 \mathit{Pin} structures on low-dimensional manifolds
R. C. Kirby and L. R. Taylor · 1990
Earlier work this paper cites.
Circle bundles, adiabatic limits of η \eta -invariants and Rokhlin congruences
Weiping Zhang · 1994
Earlier work this paper cites.
Simplicial matrices and the nerves of weak n n -categories. I. Nerves of bicategories
John W. Duskin · 2001
Earlier work this paper cites.
Unpaired Majorana fermions in quantum wires
A. Yu. Kitaev · 2001
Earlier work this paper cites.
Higher coherences for equivariant K K -theory
Michael Joachim · 2004
Earlier work this paper cites.
Dimers on surface graphs and spin structures. I
David Cimasoni and Nicolai Reshetikhin · 2007
Earlier work this paper cites.
The stable moduli space of Riemann surfaces: Mumford’s conjecture
Ib Madsen and Michael Weiss · 2007
Cited alongside, same era.
The homotopy type of the cobordism category
Søren Galatius, Ib Madsen, Ulrike Tillmann, and Michael Weiss · 2009
Cited alongside, same era.
Twists of K K -theory and 𝑇𝑀𝐹 \mathit{TMF}
Matthew Ando, Andrew J. Blumberg, and David Gepner · 2010
Cited alongside, same era.
Multplicative orientations of 𝐾𝑂 \mathit{KO} -theory and the spectrum of topological modular forms
Matthew Ando, Michael J. Hopkins, and Charles Rezk · 2010
Cited alongside, same era.
Connective Real K K -Theory of Finite Groups
Robert R. Bruner and J.P.C. Greenlees · 2010
Cited alongside, same era.
Spin structures and superstrings
Jacques Distler, Daniel S. Freed, and Gregory W. Moore · 2010
Reflection positivity and invertible topological phases
Daniel S. Freed and Michael J. Hopkins · 2016
Later among the works it cites.
Spin TQFTs and fermionic phases of matter
Davide Gaiotto and Anton Kapustin · 2016
Later among the works it cites.
Spin Hurwitz numbers and topological quantum field theory
Sam Gunningham · 2016
Later among the works it cites.
A bilayer double semion model with symmetry-enriched topological order
L. Ortiz and M.A. Martin-Delgado · 2016
Later among the works it cites.
Fermion path integrals and topological phases
Edward Witten · 2016
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
Topological quantum field theories from compact Lie groups
Daniel S. Freed, Michael J. Hopkins, Jacob Lurie, and Constantin Teleman · 2010
Cited alongside, same era.
Effects of interactions on the topological classification of free fermion systems
Lukasz Fidkowski and Alexei Kitaev · 2010
Cited alongside, same era.
Constructing symmetric monoidal bicategories
Mike Shulman · 2010
Cited alongside, same era.
Topological phases of fermions in one dimension
Lukasz Fidkowski and Alexei Kitaev · 2011
Cited alongside, same era.
Topological phases of one-dimensional fermions: An entanglement point of view
Ari M. Turner, Frank Pollmann, and Erez Berg · 2011
Cited alongside, same era.
Zero-bias peaks and splitting in an Al-InAs nanowire topological superconductor as a signature of Majorana fermions
Anindya Das, Yuval Ronen, Yonatan Most, Yuval Oreg, Moty Heiblum, and Hadas Shtrikman · 2012
Cited alongside, same era.
Fermionic matrix product states and one-dimensional topological phases
Nick Bultinck, Dominic J. Williamson, Jutho Haegeman, and Frank Verstraete · 2017
Later among the works it cites.
Homotopy theoretic classification of symmetry protected phases
Jonathan Campbell · 2017
Later among the works it cites.
Gil Young Cho, Ken Shiozaki, Shinsei Ryu, and Andreas W W Ludwig · 2017
Later among the works it cites.
Gapped phases of matter vs. topological field theories
Davide Gaiotto · 2017
Later among the works it cites.
Symmetry protected topological phases and generalized cohomology
Davide Gaiotto and Theo Johnson-Freyd · 2017
Later among the works it cites.
The 2-dimensional stable homotopy hypothesis
Nick Gurski, Niles Johnson, and Angélica M. Osorno · 2017
Later among the works it cites.
Stable Postnikov data of Picard 2 2 -categories
Nick Gurski, Niles Johnson, Angélica Osorno, and Marc Stephan · 2017
Later among the works it cites.
Spin statistics, orientations, unitarity
Theo Johnson-Freyd · 2017
Later among the works it cites.
Higher algebra
Jacob Lurie · 2017
Later among the works it cites.
Pavel Putrov, Juven Wang, and Shing-Tung Yau · 2017
Later among the works it cites.
Invertible topological field theories
Christopher Schommer-Pries · 2017
Later among the works it cites.
Charles Zhaoxi Xiong and A. Alexandradinata · 2017
Later among the works it cites.
Minimalist approach to the classification of symmetry protected topological phases
Charles Zhaoxi Xiong · 2017
Later among the works it cites.
A mod 2 index theorem for pin − - manifolds
Weiping Zhang · 2017
Later among the works it cites.
A guide for computing stable homotopy groups
Agnès Beaudry and Jonathan Campbell · 2018
Closest in time.
From gauge to higher gauge models of topological phases
Clement Delcamp and Apoorv Tiwari · 2018
Closest in time.
Mathematics of topological quantum computing
Eric C. Rowell and Zhenghan Wang · 2018
Closest in time.
An introduction to spin systems for mathematicians
Ingmar Saberi · 2018
Closest in time.