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arXiv · 2209.00621

Combinatorial decomposition theorem for Hitchin systems via zonotopes

Mirko Mauri·Luca Migliorini·Roberto Pagaria
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Abstract

We determine the summands of the decomposition theorem for the Hitchin system for $\mathrm{GL}_n$, in arbitrary degree, over the locus of reduced spectral curves. The key ingredient is an equivariant formula for lattice point counts in graphical zonotopes.

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Mirko Mauri, Luca Migliorini, Roberto Pagaria. 2022-09-01. Combinatorial decomposition theorem for Hitchin systems via zonotopes. https://arxiv.org/abs/2209.00621

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