Journal title
International Journal of Mathematics
DOI
10.1142/S0129167X24410118
Last updated
2024-05-01T01:54:04.003+01:00
Abstract
In [11], Hausel introduced a commutative algebra ā the multiplicity algebra ā associated to a fixed point of the Cā-action on the Higgs bundle moduli space. Here we describe this algebra for a fixed point consisting of a very stable rank 2 vector bundle and zero Higgs field for a curve of low genus. Geometrically, the relations in the algebra are described by a family of quadrics and we focus on the discriminant of this family, providing a new viewpoint on the moduli space of stable bundles. The discriminant in our examples demonstrates that as the bundle varies, we obtain a continuous variation in the isomorphism class of the algebra.
Symplectic ID
1993621
Submitted to ORA
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Publication date
01 Jan 2024