EA-matrix integrals of associative algebras and equivariant localization

DOI10.1007/s40598-019-00111-0zbMath1433.16031arXiv1710.08499OpenAlexW2766248932MaRDI QIDQ2302253

Serguei Barannikov

Publication date: 26 February 2020

Published in: Arnold Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.08499

zbMATH Keywords

mirror symmetryGromov-Witten invariantsBatalin-Vilkovisky formalismnoncommutative varieties

Mathematics Subject Classification ID

Noncommutative algebraic geometry (14A22) Rings arising from noncommutative algebraic geometry (16S38) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Mirror symmetry (algebro-geometric aspects) (14J33)

Cites Work

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• Solving the noncommutative Batalin-Vilkovisky equation
• Noncommutative Batalin-Vilkovisky geometry and matrix integrals
• The moment map and equivariant cohomology
• Intersection theory on the moduli space of curves and the matrix Airy function
• Supersymmetry and cohomology of graph complexes

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