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Published August 16, 2016 | Submitted
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The Verlinde formula for Higgs bundles

Abstract

We propose and prove the Verlinde formula for the quantization of the Higgs bundle moduli spaces and stacks for any simple and simply-connected group. This generalizes the equivariant Verlinde formula for the case of SU(n) proposed previously by the second and third author. We further establish a Verlinde formula for the quantization of parabolic Higgs bundle moduli spaces and stacks.

Additional Information

Date: August 8, 2016. Supported in part by the center of excellence grant "Center for Quantum Geometry of Moduli Space" from the Danish National Research Foundation (DNRF95), by the Walter Burke Institute for Theoretical Physics, and by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number de-sc0011632.

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Created:
August 20, 2023
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