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arXiv · 2001.05669

Transverse Hilbert schemes, bi-Hamiltonian systems, and hyperk\"ahler geometry

Roger Bielawski
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Abstract

We give a characterisation of Atiyah's and Hitchin's transverse Hilbert schemes of points on a symplectic surface in terms of bi-Poisson structures. Furthermore, we describe the geometry of hyperk\"ahler manifolds arising from the transverse Hilbert scheme construction, with particular attention paid to the monopole moduli spaces.

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Roger Bielawski. 2020-01-16. Transverse Hilbert schemes, bi-Hamiltonian systems, and hyperk\"ahler geometry. https://arxiv.org/abs/2001.05669

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