---
_id: '6525'
abstract:
- lang: eng
  text: This chapter finds an agreement of equivariant indices of semi-classical homomorphisms
    between pairwise mirror branes in the GL2 Higgs moduli space on a Riemann surface.
    On one side of the agreement, components of the Lagrangian brane of U(1,1) Higgs
    bundles, whose mirror was proposed by Hitchin to be certain even exterior powers
    of the hyperholomorphic Dirac bundle on the SL2 Higgs moduli space, are present.
    The agreement arises from a mysterious functional equation. This gives strong
    computational evidence for Hitchin’s proposal.
author:
- first_name: Tamás
  full_name: Hausel, Tamás
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
- first_name: Anton
  full_name: Mellit, Anton
  id: 388D3134-F248-11E8-B48F-1D18A9856A87
  last_name: Mellit
- first_name: Du
  full_name: Pei, Du
  last_name: Pei
citation:
  ama: 'Hausel T, Mellit A, Pei D. Mirror symmetry with branes by equivariant verlinde
    formulas. In: <i>Geometry and Physics: Volume I</i>. Oxford University Press;
    2018:189-218. doi:<a href="https://doi.org/10.1093/oso/9780198802013.003.0009">10.1093/oso/9780198802013.003.0009</a>'
  apa: 'Hausel, T., Mellit, A., &#38; Pei, D. (2018). Mirror symmetry with branes
    by equivariant verlinde formulas. In <i>Geometry and Physics: Volume I</i> (pp.
    189–218). Oxford University Press. <a href="https://doi.org/10.1093/oso/9780198802013.003.0009">https://doi.org/10.1093/oso/9780198802013.003.0009</a>'
  chicago: 'Hausel, Tamás, Anton Mellit, and Du Pei. “Mirror Symmetry with Branes
    by Equivariant Verlinde Formulas.” In <i>Geometry and Physics: Volume I</i>, 189–218.
    Oxford University Press, 2018. <a href="https://doi.org/10.1093/oso/9780198802013.003.0009">https://doi.org/10.1093/oso/9780198802013.003.0009</a>.'
  ieee: 'T. Hausel, A. Mellit, and D. Pei, “Mirror symmetry with branes by equivariant
    verlinde formulas,” in <i>Geometry and Physics: Volume I</i>, Oxford University
    Press, 2018, pp. 189–218.'
  ista: 'Hausel T, Mellit A, Pei D. 2018.Mirror symmetry with branes by equivariant
    verlinde formulas. In: Geometry and Physics: Volume I. , 189–218.'
  mla: 'Hausel, Tamás, et al. “Mirror Symmetry with Branes by Equivariant Verlinde
    Formulas.” <i>Geometry and Physics: Volume I</i>, Oxford University Press, 2018,
    pp. 189–218, doi:<a href="https://doi.org/10.1093/oso/9780198802013.003.0009">10.1093/oso/9780198802013.003.0009</a>.'
  short: 'T. Hausel, A. Mellit, D. Pei, in:, Geometry and Physics: Volume I, Oxford
    University Press, 2018, pp. 189–218.'
date_created: 2019-06-06T12:42:01Z
date_published: 2018-01-01T00:00:00Z
date_updated: 2021-01-12T08:07:52Z
day: '01'
department:
- _id: TaHa
doi: 10.1093/oso/9780198802013.003.0009
language:
- iso: eng
month: '01'
oa_version: None
page: 189-218
publication: 'Geometry and Physics: Volume I'
publication_identifier:
  isbn:
  - '9780198802013'
  - '9780191840500'
publication_status: published
publisher: Oxford University Press
quality_controlled: '1'
scopus_import: 1
status: public
title: Mirror symmetry with branes by equivariant verlinde formulas
type: book_chapter
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
year: '2018'
...