Bohr-Sommerfeld Lagrangians of moduli spaces of Higgs bundles

JOURNAL OF GEOMETRY AND PHYSICS

卷:94

Article

Biswas, Indranil¹  Gammelgaard, Niels Leth²  Logares, Marina³ 

[1] Tata Inst Fundamental Res, Sch Math, Bombay 400005, Maharashtra, India

[2] Univ Aarhus, Ctr Quantum Geometry Moduli Spaces, DK-8000 Aarhus, Denmark

[3] Inst Ciencias Matemat CSIC UAM UC3M UCM, Madrid 28049, Spain

关键词: Bohr-Sommerfeld Lagrangian;    Higgs bundle;    C*-action;    Nilpotent cone;   

DOI  :  10.1016/j.geomphys.2015.04.005

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

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