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math-ph2025
Equivariant localization in Batalin-Vilkovisky formalism
Alberto S. Cattaneo, Shuhan Jiang
We derive equivariant localization formulas of Atiyah--Bott and cohomological field theory types in the Batalin-Vilkovisky formalism and discuss their applications in Poisson geome…
math-ph2024
Cohomological field theories and generalized Seiberg-Witten equations
Shuhan Jiang, Jürgen Jost
We introduce a formalism for constructing cohomological field theories (CohFT) out of nonlinear PDEs based on the first author's previous work (arXiv:2202.12425). We apply the form…