English

Localization theorem for homological vector fields

Representation Theory 2025-04-28 v2 Mathematical Physics math.MP

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.

Keywords

Cite

@article{arxiv.2210.13264,
  title  = {Localization theorem for homological vector fields},
  author = {Vera Serganova and Alexander Sherman},
  journal= {arXiv preprint arXiv:2210.13264},
  year   = {2025}
}

Comments

updated and improved exposition, typos fixed. Published in Communications in Mathematical Physics

R2 v1 2026-06-28T04:21:47.957Z