Sheaf counting on local K3 surfaces
Name
1806.02657.pdf
Description
Accepted version
Size
281.98 KB
Format
Adobe PDF
Checksum (MD5)
8cb7ed2a84dd092d81bc913d55f490f9
Author(s)
Maulik, D
Thomas, RP
Date Issued
January 1, 2018
Journal
Pure and Applied Mathematics Quarterly
Publisher
International Press of Boston
Version
Author's final manuscript
Abstract
© 2018, International Press of Boston, Inc.. All rights reserved. There are two natural ways to count stable pairs or Joyce-Song pairs on X =K3× ℂ; one via weighted Euler characteristic and the other by virtual localisation of the reduced virtual class. Since X is noncompact these need not be the same. We show their generating series are related by an exponential. As applications we prove two conjectures of Toda, and a conjecture of Tanaka-Thomas defining Vafa-Witten invariants in the semistable case.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.4310/PAMQ.2018.v14.n3.a1
