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Principal Higgs Bundles and Schottky Representations

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Current Trends in Analysis, its Applications and Computation

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

Schottky representations are shown to be related to (A, B, A) branes in the moduli space of Principal Higgs bundles over a compact Riemann surface.

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Notes

  1. 1.

    For a general real Lie group, the analogous pairing defines a smooth (C ∞) symplectic structure, see [7].

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Acknowledgements

We thank C. Florentino for his support and comments and to A. Schmitt for organizing the session “Complex Geometry” in the 12th ISAAC Congress, where this work was presented.

This work was supported by Fundação para a Ciência e a Tecnologia (Portuguese Foundation for Science and Technology) through the project UID/MAT/00297/2019.

Author information

Authors and Affiliations

  1. Departamento Matemática, Centro de Matemática e Aplicações, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Caparica, Portugal

    Ana Casimiro

  2. Escola Superior de Tecnologia e Gesto, Instituto Politcnico de Leiria, Leiria, Portugal

    Susana Ferreira

Authors
  1. Ana Casimiro
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  2. Susana Ferreira
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Corresponding author

Correspondence to Ana Casimiro .

Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Paula Cerejeiras

  2. Institut of Applied Analysis, TU Bergakademie Freiberg, Freiberg, Germany

    Michael Reissig

  3. Dipartimento di Matematica, Politecnico di Milano, Milano, Italy

    Irene Sabadini

  4. Department of Mathematics, Linnaeus University, Växjö, Sweden

    Joachim Toft

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Casimiro, A., Ferreira, S. (2022). Principal Higgs Bundles and Schottky Representations. In: Cerejeiras, P., Reissig, M., Sabadini, I., Toft, J. (eds) Current Trends in Analysis, its Applications and Computation. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-87502-2_10

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