The Equivariant Verline Formula on the Moduli of Higgs Bundles

The Equivariant Verline Formula on the Moduli of Higgs Bundles. Halpern-Leistner, D.
abstract bibtex

We prove an analog of the Verlinde formula on the moduli space of semistable meromorphic G-Higgs bundles over a smooth curve for a reductive group G whose fundamental group is free. The formula expresses the graded dimension of the space of sections of a positive line bundle as a ﬁnite sum whose terms are indexed by formal solutions of a generalized Bethe ansatz equation on the maximal torus of G.

@article{halpern-leistner_equivariant_nodate,
	title = {The {Equivariant} {Verline} {Formula} on the {Moduli} of {Higgs} {Bundles}},
	abstract = {We prove an analog of the Verlinde formula on the moduli space of semistable meromorphic G-Higgs bundles over a smooth curve for a reductive group G whose fundamental group is free. The formula expresses the graded dimension of the space of sections of a positive line bundle as a ﬁnite sum whose terms are indexed by formal solutions of a generalized Bethe ansatz equation on the maximal torus of G.},
	language = {en},
	author = {Halpern-Leistner, Daniel},
	pages = {22}
}

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