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Local Gromov-Witten invariants are log invariants
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van Garrel, Michel, Graber, Tom and Ruddat, Helge (2019) Local Gromov-Witten invariants are log invariants. Advances in Mathematics, 350 . pp. 860-876. doi:10.1016/j.aim.2019.04.063 ISSN 0001-8708.
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Official URL: https://doi.org/10.1016/j.aim.2019.04.063
Abstract
We prove a simple equivalence between the virtual count of rational curves in the total space of an anti-nef line bundle and the virtual count of rational curves maximally tangent to a smooth section of the dual line bundle. We conjecture a generalization to direct sums of line bundles.
| Item Type: | Journal Article | ||||||
|---|---|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
| Library of Congress Subject Headings (LCSH): | Gromov-Witten invariants , Invariants , Orbifolds , Curves | ||||||
| Journal or Publication Title: | Advances in Mathematics | ||||||
| Publisher: | Academic Press | ||||||
| ISSN: | 0001-8708 | ||||||
| Official Date: | 9 July 2019 | ||||||
| Dates: |
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| Volume: | 350 | ||||||
| Page Range: | pp. 860-876 | ||||||
| DOI: | 10.1016/j.aim.2019.04.063 | ||||||
| Status: | Peer Reviewed | ||||||
| Publication Status: | Published | ||||||
| Access rights to Published version: | Restricted or Subscription Access | ||||||
| Date of first compliant deposit: | 30 April 2019 | ||||||
| Date of first compliant Open Access: | 9 July 2020 | ||||||
| Related URLs: | |||||||
| Open Access Version: |
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