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Bohr-Sommerfeld Lagrangians of moduli spaces of Higgs bundles

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  • Indranil Biswas, Tata Institute of Fundamental Research
  • ,
  • Niels Leth Gammelgaard
  • ,
  • Marina Logares, Instituto de Ciencias Matemáticas

Let X be a compact connected Riemann surface of genus at least two. Let M-H (r, d) denote the moduli space of semistable Higgs bundles on X of rank r and degree d. We prove that the compact complex Bohr-Sommerfeld Lagrangians of M-H (r, d) are precisely the irreducible components of the nilpotent cone in M-H (r, d). This generalizes to Higgs G-bundles and also to the parabolic Higgs bundles. (C) 2015 Elsevier B.V. All rights reserved.

Original languageEnglish
JournalJournal of Geometry and Physics
Volume94
Pages (from-to)179-184
Number of pages6
ISSN0393-0440
DOIs
Publication statusPublished - 2015

    Research areas

  • Bohr-Sommerfeld Lagrangian, Higgs bundle, C*-action, Nilpotent cone, INTEGRABLE SYSTEMS, PAIRS, CURVES

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