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The Verlinde formula for Higgs bundles

By Jorgen Ellegaard Andersen

Appears in collections : Gauge theory and complex geometry / ​Théorie de jauge et géométrie complexe, Exposés de recherche

In this talk we will present a Verlinde formula for the quantization of the Higgs bundle moduli spaces and stacks for any simple and simply-connected group. We further present a Verlinde formula for the quantization of parabolic Higgs bundle moduli spaces and stacks. We will explain how all these dimensions fit into a one parameter family of 2D TQFT’s, encoded in a one parameter family of Frobenius algebras, which we will construct.

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Citation data

  • DOI 10.24350/CIRM.V.19417103
  • Cite this video Andersen, Jorgen Ellegaard (19/06/2018). The Verlinde formula for Higgs bundles. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19417103
  • URL https://dx.doi.org/10.24350/CIRM.V.19417103

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