Imperial College London
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Professor Richard Thomas FRS

Faculty of Natural Sciences, Department of Mathematics

Royal Society Research Professor (Pure Mathematics)
 
 
 
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Contact

 

richard.thomas Website

 
 
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Location

 

659Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Maulik:2019:10.4310/PAMQ.2018.v14.n3.a1,
author = {Maulik, D and Thomas, RP},
doi = {10.4310/PAMQ.2018.v14.n3.a1},
journal = {Pure and Applied Mathematics Quarterly},
pages = {419--441},
title = {Sheaf counting on local K3 surfaces},
url = {http://dx.doi.org/10.4310/PAMQ.2018.v14.n3.a1},
volume = {14},
year = {2019}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - 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.
AU  - Maulik,D
AU  - Thomas,RP
DO  - 10.4310/PAMQ.2018.v14.n3.a1
EP  - 441
PY  - 2019///
SN  - 1558-8599
SP  - 419
TI  - Sheaf counting on local K3 surfaces
T2  - Pure and Applied Mathematics Quarterly
UR  - http://dx.doi.org/10.4310/PAMQ.2018.v14.n3.a1
UR  - http://hdl.handle.net/10044/1/73956
VL  - 14
ER  -
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