Stable pairs, flat connections and Gopakumar-Vafa invariants
Algebraic Geometry
2017-12-05 v1 High Energy Physics - Theory
Differential Geometry
Abstract
Using the interpretation of certain generalised Donaldson-Thomas invariants, including stable pairs curve counts, as the monodromy of a flat connection on a formal principal bundle, we show that the conjectural Gopakumar-Vafa contributions of all genera to the Gromov-Witten partition function appear in the asymptotics of the corresponding flat sections. The Fourier-Laplace integrals used to produce flat sections lead naturally to the GW/DT change of variable -q = e^{i u}.
Keywords
Cite
@article{arxiv.1712.01221,
title = {Stable pairs, flat connections and Gopakumar-Vafa invariants},
author = {Jacopo Stoppa},
journal= {arXiv preprint arXiv:1712.01221},
year = {2017}
}
Comments
27 pages