Virtual Residue and an integral formalism

Abstract

We generalize Grothendieck's residues $Res\frac{\psi }{s}$ to virtual cases, namely cases when the zero loci of the section $s$ has dimension larger than the expected dimension(zero). We also provide an exponential type integral formalism for the virtual residue, which can be viewed as an analogue of the Mathai-Quillen formalism for localized Euler classes.

References in corpus (4)

• Donaldson-Thomas invariants via microlocal geometry
• A Mathematical Theory of the Gauged Linear Sigma Model
• Mixed-Spin-P fields of Fermat quintic polynomials
• Schrödinger equations, deformation theory and $t{t}^{\ast }$-geometry

Cited by in corpus (2)

• Cohomologies of Landau-Ginzburg models
• Virtual residue and generalized Cayley- Bacharach Theorem