4-Manifold topology, Donaldson–Witten theory, Floer homology and higher gauge theory methods in the BV-BFV formalism

DOI10.1142/S0129055X22500295WikidataQ114073240 ScholiaQ114073240MaRDI QIDQ5044162

Publication date: 24 October 2022

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

Full work available at URL: https://arxiv.org/abs/2107.00304

zbMATH Keywords

Donaldson-Witten theory quantum field theory AKSZ theories BV-BFV formalism equivariant BV extension Floer (co)homology

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) Equivariant homology and cohomology in algebraic topology (55N91) Floer homology (57R58) Invariants of 3-manifolds (including skein modules, character varieties) (57K31) Invariants of 4-manifolds (including Donaldson and Seiberg-Witten invariants) (57K41)

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