Derived moduli of sections and push-forwards

2022/10/20 by David Kern, Étienne Mann, Kern, David +5 · 1 citation
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Algebraic structures and combinatorial models #Advanced Topics in Algebra

paper · doi:10.48550/arxiv.2210.11386

Abstract

We introduce a derived enhancement of the moduli space of sections defined by Chang-Li, and we compute its tangent complex. Special cases of this moduli space include stable maps and stable quasi-maps. As an application, we prove that G-theoretic stable map and quasi-map invariants of projective spaces are equal.

Cited by

• Irreducible components of moduli spaces of maps to smooth projective toric varieties in genus 0

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