Global anomalies and bordism invariants in one dimension

DOI10.1063/5.0099689zbMath1521.81359arXiv2111.15254OpenAlexW4387019504MaRDI QIDQ6080729

Saki Koizumi

Publication date: 4 October 2023

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2111.15254

Mathematics Subject Classification ID

Anomalies in quantum field theory (81T50) Index theory and related fixed-point theorems on manifolds (58J20) Topological field theories in quantum mechanics (81T45) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Other types of cobordism (57R90)

Cites Work

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• Topological quantum field theories
• Global gravitational anomalies
• Dai-Freed theorem and topological phases of matter
• Reflection positivity and invertible topological phases
• Global anomalies on the Hilbert space
• Fermionic finite-group gauge theories and interacting symmetric/crystalline orders via cobordisms
• Diagrammatic state sums for 2D pin-minus TQFTs
• On gapped boundaries for SPT phases beyond group cohomology
• On the cobordism classification of symmetry protected topological phases
• The structure of the Spin cobordism ring
• Generalizations of the Kervaire invariant
• Fermionic symmetry protected topological phases and cobordisms
• Cohomologie modulo 2 des complexes d'Eilenberg-MacLane
• Spin Structures and Quadratic forms on Surfaces
• Spectral asymmetry and Riemannian Geometry. I
• Characteristic Classes. (AM-76)
• Spectral asymmetry and Riemannian geometry. II
• Spectral asymmetry and Riemannian geometry. III
• η-invariants and determinant lines
• The Cohomology of BSO n and BO n with Integer Coefficients
• The Arf-Brown TQFT of pin⁻ surfaces
• A guide for computing stable homotopy groups
• The index of elliptic operators on compact manifolds
• Spin-cobordisms, surgeries and fermionic modular bootstrap

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