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arXiv · 2210.11386

Derived moduli of sections and push-forwards

David Kern·Etienne Mann·Cristina Manolache·Renata Picciotto
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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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David Kern, Etienne Mann, Cristina Manolache, Renata Picciotto. 2022-10-20. Derived moduli of sections and push-forwards. https://arxiv.org/abs/2210.11386

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