Localization theorem for homological vector fields
Vera Serganova, Alexander Sherman
TL;DR
This paper introduces a localization theorem that computes the cohomology of homological vector fields on vector bundles over smooth affine supervarieties, providing a new tool for supergeometry analysis.
Contribution
It presents a general localization theorem for homological vector fields on supervarieties, expanding the computational methods in supergeometry.
Findings
Provides a formula for cohomology computation in supergeometry
Extends localization techniques to homological vector fields
Applicable to vector bundles over smooth affine supervarieties
Abstract
We present a general theorem which computes the cohomology of a homological vector field on global sections of vector bundles over smooth affine supervarieties. The hypotheses and results have the clear flavor of a localization theorem.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Advanced Algebra and Geometry