Holomorphic Floer theory and Donaldson-Thomas invariants

Abstract

We present several expected properties of the holomorphic Floer theory of a holomorphic symplectic manifold. In particular, we propose a conjecture relating holomorphic Floer theory of Hitchin integrable systems and Donaldson-Thomas invariants of non-compact Calabi-Yau 3-folds. More generally, we conjecture that the BPS spectrum of a 4-dimensional $\mathcal{N}=2$ quantum field theory can be recovered from the holomorphic Floer theory of the corresponding Seiberg-Witten integrable system.

35 pages, 11 figures. Final version published in Proceedings of the String-Math 2022 conference

Cited by in corpus (2)

• Quivers and curves in higher dimension
• Les Houches lectures on non-perturbative Seiberg-Witten geometry