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arXiv · 2302.09912

Seiberg-Witten differentials on the Hitchin base

Ugo Bruzzo·Peter Dalakov
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Abstract

In this note we describe explicitly, in terms of Lie theory and cameral data, the covariant (Gauss--Manin) derivative of the Seiberg--Witten differential defined on the weight-one variation of Hodge structures that exists on a Zariski open subset of the base of the Hitchin fibration. Dedicated to Tony Pantev on the occasion of his 60th birthday.

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Ugo Bruzzo, Peter Dalakov. 2023-02-20. Seiberg-Witten differentials on the Hitchin base. https://doi.org/10.1007/s13398-024-01551-w

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