Seiberg-Witten differentials on the Hitchin base
Algebraic Geometry
2024-02-06 v2 Mathematical Physics
math.MP
Symplectic Geometry
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.
Cite
@article{arxiv.2302.09912,
title = {Seiberg-Witten differentials on the Hitchin base},
author = {Ugo Bruzzo and Peter Dalakov},
journal= {arXiv preprint arXiv:2302.09912},
year = {2024}
}
Comments
18 pages. Second version with minor modifications and corrected typos