The Verlinde formula for Higgs bundles

Andersen, Jørgen Ellegaard and Gukov, Sergei and Pei, Du (2016) The Verlinde formula for Higgs bundles. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20160816-123626732

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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.

Item Type:

Report or Paper (Discussion Paper)

Related URLs:

URL	URL Type	Description
http://arxiv.org/abs/1608.01761	arXiv	Discussion Paper

ORCID:

Author	ORCID
Andersen, Jørgen Ellegaard	0000-0001-9721-0722
Gukov, Sergei	0000-0002-9486-1762
Pei, Du	0000-0001-5587-6905

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.

Group:

Walter Burke Institute for Theoretical Physics

Funders:

Funding Agency	Grant Number
Danish National Research Foundation	DNRF95
Walter Burke Institute for Theoretical Physics, Caltech	UNSPECIFIED
Department of Energy (DOE)	DE-SC0011632

Other Numbering System:

Other Numbering System Name	Other Numbering System ID
CALT-TH	2016-020

DOI:

10.48550/arXiv.1608.01761

Record Number:

CaltechAUTHORS:20160816-123626732

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20160816-123626732

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

69672

Collection:

CaltechAUTHORS

Deposited By:

Joy Painter

Deposited On:

16 Aug 2016 20:47

Last Modified:

02 Jun 2023 00:26

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