CaltechAUTHORS
Published July 9, 2019 | Version Accepted Version
Journal Article Open

Local Gromov-Witten invariants are log invariants

Creators

  • 1. ROR icon University of Warwick
  • 2. ROR icon California Institute of Technology
  • 3. ROR icon Johannes Gutenberg University of Mainz

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.

Additional Information

© 2019 Elsevier. Received 8 March 2018, Revised 4 February 2019, Accepted 22 April 2019, Available online 9 May 2019. Communicated by Tony Pantev. This work was supported by HR's Deutsche Forschungsgemeinschaft Emmy-Noether grant RU1629/4-1. We are grateful to Dan Abramovich, Mark Gross, Davesh Maulik, Rahul Pandharipande and James Pascaleff for helpful and inspiring discussions, and to the anonymous referee for valuable suggestions.

Attached Files

Accepted Version - 1712.05210.pdf

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1712.05210.pdf

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Additional details

Identifiers

Eprint ID
95391
Resolver ID
CaltechAUTHORS:20190510-105529171

Related works

Describes
https://arxiv.org/abs/1712.05210 (URL)

Funding

Deutsche Forschungsgemeinschaft (DFG)
RU1629/4-1

Dates

Created
2019-05-10
Created from EPrint's datestamp field
Updated
2021-11-16
Created from EPrint's last_modified field

Caltech Custom Metadata

Caltech groups
Division of Physics, Mathematics and Astronomy (PMA)
Publication Status
Published