The Arf-Brown TQFT of pin⁻ surfaces
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Publication:5236792
DOI10.1090/conm/718/14478zbMath1426.57048arXiv1803.11183OpenAlexW3102226934MaRDI QIDQ5236792
Publication date: 16 October 2019
Published in: Topology and Quantum Theory in Interaction (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.11183
Quantum field theory on lattices (81T25) Topological quantum field theories (aspects of differential topology) (57R56) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)
Related Items
Interacting SPT phases are not Morita invariant ⋮ \( \mathrm{SL}(2,\mathbb{Z})\) action on QFTs with \(\mathbb{Z}_2\) symmetry and the Brown-Kervaire invariants ⋮ Fermionic finite-group gauge theories and interacting symmetric/crystalline orders via cobordisms ⋮ Non-local order parameters and quantum entanglement for fermionic topological field theories ⋮ The super Frobenius-Schur indicator and finite group gauge theories on \(\mathrm{pin}^-\) surfaces ⋮ Some properties of Pin\({}^\pm\)-structures on compact surfaces ⋮ Global anomalies and bordism invariants in one dimension ⋮ Diagrammatic state sums for 2D pin-minus TQFTs
Cites Work
- Spin Hurwitz numbers and topological quantum field theory
- Spin, statistics, orientations, unitarity
- Topological quantum field theories
- The homotopy type of the cobordism category
- Cohomology theories
- Notes on 2-groupoids, 2-groups and crossed modules
- Topological gauge theories and group cohomology
- Dimers on graphs in non-orientable surfaces
- Exotic structures on 4-manifolds detected by spectral invariants
- Chern-Simons theory with finite gauge group
- Circle bundles, adiabatic limits of \(\eta\)-invariants and Rokhlin congruences
- From gauge to higher gauge models of topological phases
- Tori detect invertibility of topological field theories
- Dai-Freed theorem and topological phases of matter
- A bilayer double semion model with symmetry-enriched topological order
- Extending homotopy theories across adjunctions
- Matrix product states and equivariant topological field theories for bosonic symmetry-protected topological phases in (1+1) dimensions
- A mod 2 index theorem for \(\mathrm{pin}^-\) manifolds
- Combinatorial spin structures on triangulated manifolds
- The balanced tensor product of module categories
- Symmetry protected topological phases and generalized cohomology
- Dimers on surface graphs and spin structures. I
- Braiding statistics and link invariants of bosonic/fermionic topological quantum matter in 2+1 and 3+1 dimensions
- Stable Postnikov data of Picard 2-categories
- The stable moduli space of Riemann surfaces: Mumford's conjecture
- SU-cobordism, KO-characteristic numbers, and the Kervaire invariant
- Clifford modules
- The structure of the Spin cobordism ring
- Fermionic symmetry protected topological phases and cobordisms
- Quelques propriétés globales des variétés différentiables
- Homology of the moduli spaces and mapping class groups of framed, r -Spin and Pin surfaces
- Modeling Stable One-Types
- Twists of K-theory and TMF
- Loop groups and twisted K -theory I
- Spin structures and superstrings
- Minimalist approach to the classification of symmetry protected topological phases
- Topological Quantum Field Theories from Compact Lie Groups
- On the Classification of Topological Field Theories
- Spin Structures and Quadratic forms on Surfaces
- Pontrjagin Duality for Generalized Homology and Cohomology Theories
- Infinite Loop Spaces (AM-90)
- Introduction to bicategories
- Fermionic projected entangled-pair states and topological phases
- Relationship between symmetry protected topological phases and boundary conformal field theories via the entanglement spectrum
- Mathematics of topological quantum computing
- An introduction to spin systems for mathematicians
- A guide for computing stable homotopy groups
- Thom Complexes
- Higher Topos Theory (AM-170)
- Spin TQFTs and fermionic phases of matter
- Riemann surfaces and spin structures
- On Ramond-Ramond fields and \(K\)-theory
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