English

Derived moduli of sections and push-forwards

Algebraic Geometry 2022-10-21 v1

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.

Keywords

Cite

@article{arxiv.2210.11386,
  title  = {Derived moduli of sections and push-forwards},
  author = {David Kern and Etienne Mann and Cristina Manolache and Renata Picciotto},
  journal= {arXiv preprint arXiv:2210.11386},
  year   = {2022}
}

Comments

41 pages, 1 figure. Comments welcome!

R2 v1 2026-06-28T04:06:14.279Z