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Holomorphic Floer theory and Donaldson-Thomas invariants

Pierrick Bousseau

31/10/22 Published in : arXiv:2210.17001

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 \mathcal{N}=2 4-dimensional quantum field theory can be recovered from the holomorphic Floer theory of the corresponding Seiberg-Witten integrable system.

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  • Geometry, Topology and Physics

BPS Dendroscopy on Local \mathbb{P}^2

The canonical BV Laplacian on half-densities

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