A Vafa-Intriligator formula for semi-positive quotients of linear spaces

2025/05/23 by Ontani, Riccardo · 1 citation
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2505.17845

Abstract

We consider genus zero quasimap invariants of smooth projective targets of the form V/ /G, where V is a representation of a reductive group G. In particular we consider integrals of cohomology classes arising as characteristic classes of the universal quasimap. In this setting, we provide a way to express the invariants of V/ /G in terms of invariants of V/ /T, where T is a maximal subtorus of G. Using this, we obtain residue formulae for such invariants as conjectured by Kim, Oh, Yoshida and Ueda. Finally, under some positivity assumptions on V/ /G, we prove a Vafa-Intriligator formula for the generating series of such invariants, expressing them as finite sums of explicit contributions.

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Cited by

• Intersection Theory of Hyperquot Schemes on curves

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