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Virtual Residue and an integral formalism

2015/08/11 by Chang, Huai-Liang, Li, Mu-Lin
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1508.02769

Abstract

We generalize Grothendieck's residues Res\fracψs 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.

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