Interacting SPT phases are not Morita invariant

DOI10.1007/s11005-022-01559-6zbMath1492.81080arXiv2110.07408OpenAlexW3205984032MaRDI QIDQ2156089

Luuk Stehouwer

Publication date: 15 July 2022

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

Full work available at URL: https://arxiv.org/abs/2110.07408

zbMATH Keywords

spectral sequenceinvertible field theorySPT phasestenfold way

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15) Statistical mechanics in condensed matter (general) (82D03)

Related Items (1)

Rigorous index theory for one-dimensional interacting topological insulators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the \(K\)-theoretic classification of topological phases of matter
• Twisted equivariant matter
• The homotopy type of the cobordism category
• The geometry of abstract groups and their splittings.
• Tori detect invertibility of topological field theories
• Dyson's classification and real division superalgebras
• Reflection positivity and invertible topological phases
• The structure of the Spin cobordism ring
• Fermionic symmetry protected topological phases and cobordisms
• Periodic table for topological insulators and superconductors
• Lectures on Field Theory and Topology
• The Arf-Brown TQFT of pin⁻ surfaces
• A new SU(2) anomaly

This page was built for publication: Interacting SPT phases are not Morita invariant