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Derived moduli of sections and push-forwards

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arxiv 2210.11386 v1 pith:WISDMPNI submitted 2022-10-20 math.AG

David Kern , Etienne Mann , Cristina Manolache , Renata Picciotto This is my paper · ORCID
classification math.AG
keywords modulistablederivedsectionsspaceapplicationcaseschang-li
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The contraction morphism between maps and quasimaps to toric varieties

    math.AG 2024-12 conditional novelty 7.0 of 10

    For any smooth projective toric variety, a contraction morphism from stable maps to quasimaps is constructed on a closed substack, and is proven surjective when the target is Fano.

  2. On the Feyzbakhsh-Thomas programme for Fano $3$-folds

    math.AG 2026-07 conditional novelty 6.0 of 10

    For Fano 3-folds with even canonical class and a generalized Bogomolov-Gieseker inequality, rank r Donaldson-Thomas invariants are universally determined by rank 0, pure dimension 2 invariants.

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