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arXiv · 2210.17001

Holomorphic Floer theory and Donaldson-Thomas invariants

Pierrick Bousseau
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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.

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Pierrick Bousseau. 2022-10-31. Holomorphic Floer theory and Donaldson-Thomas invariants. https://arxiv.org/abs/2210.17001

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