Higgs bundles for real groups and the Hitchin-Kostant-Rallis section

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Abstract:

We consider the moduli space of polystable-twisted-Higgs bundles over a compact Riemann surface, where is a real reductive Lie group and is a holomorphic line bundle over. Evaluating the Higgs field on a basis of the ring of polynomial invariants of the isotropy representation defines the Hitchin map.

SEEK ID: https://publications.h-its.org/publications/945

DOI: 10.1090/tran/7363

Research Groups: Groups and Geometry

Publication type: Journal

Journal: Transactions of the American Mathematical Society

Publisher: American Mathematical Society (AMS)

Citation: Trans. Amer. Math. Soc. 370(4):2907-2953

Date Published: 1st Apr 2018

URL: http://dx.doi.org/10.1090/tran/7363

Registered Mode: imported from a bibtex file

Authors: Oscar García-Prada, Ana Peón-Nieto, S. Ramanan

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Lukas Sauer

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García-Prada, O., Peón-Nieto, A., & Ramanan, S. (2017). Higgs bundles for real groups and the Hitchin–Kostant–Rallis section. In Transactions of the American Mathematical Society (Vol. 370, Issue 4, pp. 2907–2953). American Mathematical Society (AMS). https://doi.org/10.1090/tran/7363

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Created: 24th Jan 2020 at 15:35

Last updated: 5th Mar 2024 at 21:24

Higgs bundles for real groups and the Hitchin-Kostant-Rallis section

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