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math-phJan 30, 2025
authors
  • Alberto S. Cattaneo
  • Shuhan Jiang
institutions
  • University of Zurich
arXiv abstractPDF
paper

Equivariant localization in Batalin-Vilkovisky formalism

arXiv:2501.17082 · doi:10.1016/j.difgeo.2025.102265

Abstract

We derive equivariant localization formulas of Atiyah--Bott and cohomological field theory types in the Batalin-Vilkovisky formalism and discuss their applications in Poisson geometry and quantum field theory.

13 pages

References in corpus (9)

  • Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
  • Localization techniques in quantum field theories
  • Geometry of Batalin-Vilkovisky quantization
  • Lectures on 2D Yang-Mills Theory, Equivariant Cohomology and Topological Field Theories
  • Localization and Diagonalization: A review of functional integral techniques for low-dimensional gauge theories and topological field theories
  • Equivariant Batalin-Vilkovisky formalism
  • Towards equivariant Yang-Mills theory
  • AKSZ construction from reduction data
  • Localization and Stationary Phase Approximation on Supermanifolds
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