Kern, D., Mann, É, Manolache, C. et al. (1 more author) (2025) Derived moduli of sections and push-forwards. Selecta Mathematica, 31 (2). 40. ISSN 1022-1824
Abstract
We use the derived moduli of sections RSecM(Z/C) to give derived enhancements of various moduli spaces, including stable maps and stable quasi-maps, which are compatible with their usual perfect obstruction theories. As an application, we prove that G-theoretic stable map and quasi-map invariants of projective spaces are equal.
Metadata
Item Type: | Article |
---|---|
Authors/Creators: |
|
Copyright, Publisher and Additional Information: | © The Author(s) 2025. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
Keywords: | Derived algebraic geometry; Gromov–Witten theory; Quasi-maps; Moduli of sections |
Dates: |
|
Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematical and Physical Sciences |
Funding Information: | Funder Grant number LONDON MATHEMATICAL SOCIETY UNSPECIFIED Royal Society 7580 |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 17 Apr 2025 10:20 |
Last Modified: | 17 Apr 2025 10:20 |
Status: | Published |
Publisher: | Springer Science and Business Media LLC |
Refereed: | Yes |
Identification Number: | 10.1007/s00029-025-01033-w |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:225591 |