Derived moduli of sections and push-forwards

Published 20 Oct 2022 in math.AG | (2210.11386v1)

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.

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