Analogues of Mathai-Quillen forms in sheaf cohomology and applications to topological field theory

Abstract

We construct sheaf-cohomological analogues of Mathai-Quillen forms, that is, holomorphic bundle-valued differential forms whose cohomology classes are independent of certain deformations, and which are believed to possess Thom-like properties. Ordinary Mathai-Quillen forms are special cases of these constructions, as we discuss. These sheaf-theoretic variations arise physically in A/2 and B/2 pseudo-topological field theories, and we comment on their origin and role.

arXiv comment52 pages, LaTeX

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Cited by in corpus (5)

• Localization of twisted $\mathcal{N}=(0,2)$ gauged linear sigma models in two dimensions
• Quantum sheaf cohomology on Grassmannians
• A proposal for (0,2) mirrors of toric varieties
• A few recent developments in 2d (2,2) and (0,2) theories
• Curvature constraints in heterotic Landau-Ginzburg models