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arXiv · 1712.01221

Stable pairs, flat connections and Gopakumar-Vafa invariants

Jacopo Stoppa
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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}.

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Jacopo Stoppa. 2017-12-04. Stable pairs, flat connections and Gopakumar-Vafa invariants. https://arxiv.org/abs/1712.01221

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