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Bohr--Sommerfeld Lagrangians of moduli spaces of Higgs bundles

Research output: Working paper/Preprint Working paperResearch

  • Indranil Biswas, Tata Institute of Fundamental Research
  • ,
  • Niels Leth Gammelgaard, Denmark
  • 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.
Original languageEnglish
PublisherarXiv.org
Number of pages7
Publication statusPublished - 24 Sep 2014

    Research areas

  • math.AG, math-ph, math.MP, math.SG, 14H60, 14H70, 53D12

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