Two field-theoretic viewpoints on the Fukaya-Morse \(A_\infty\) category

DOI10.1007/s11005-022-01587-2OpenAlexW4296186560MaRDI QIDQ2079261

Donald R. Youmans, Olga Chekeres, Pavel Mnev, Andrey S. Losev

Publication date: 29 September 2022

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

Full work available at URL: https://arxiv.org/abs/2112.12756

zbMATH Keywords

Morse theoryenumerative geometrytopological gauge theoryhomotopy transferBatalin-Vilkovisky effective actionFukaya A-infinity category

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Symplectic aspects of mirror symmetry, homological mirror symmetry, and Fukaya category (53D37)

Related Items (1)

Generalized cohomological field theories in the higher order formalism

Cites Work

• Fukaya categories and Picard-Lefschetz theory
• Applications of perturbation theory to iterated fibrations
• Supersymmetry and Morse theory
• Zero-loop open strings in the cotangent bundle and Morse homotopy
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• TQFT, homological algebra and elements of K. Saito's theory of primitive form: an attempt of mathematical text written by mathematical physicist
• On the chain-complex of a fibration
• A Beginner’s Introduction to Fukaya Categories
• Instantons beyond topological theory. I
• Higher-dimensional \(BF\) theories in the Batalin-Vilkovisky formalism: The BV action and generalized Wilson loops
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