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The Yang-Mills measure and symplectic structure over spaces of connections

  • Conference paper
Quantization of Singular Symplectic Quotients

Part of the book series: Progress in Mathematics ((PM,volume 198))

Abstract

A short overview is presented of: (i) the quantum field measure associated with pure Yang-Mills gauge theory on a compact surface, (ii) an approach to the symplectic structure on the [moduli] space of [flat] connections over compact oriented surfaces (with and without boundary), and (iii) the relation between the classical Yang-Mills measure and the volume measure on the moduli space of flat connections.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, Baton Rouge, LA, 70803-4918, USA

    Ambar N. Sengupta

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  1. Ambar N. Sengupta
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Editor information

Editors and Affiliations

  1. Korteweg-de Vries Instituut voor Wiskunde, Universiteit van Amsterdam, Plantage Muidergracht 24, 1018 TV, Amsterdam, The Netherlands

    N. P. Landsman

  2. Mathematisch-Naturwissenschaftliche Fakultät II Institut für Mathematik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099, Berlin, Germany

    M. Pflaum

  3. Fakultät für Mathematik und Informatik, Universität Mannheim, D7, 27, 68131, Mannheim, Germany

    M. Schlichenmaier

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© 2001 Springer Basel AG

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Sengupta, A.N. (2001). The Yang-Mills measure and symplectic structure over spaces of connections. In: Landsman, N.P., Pflaum, M., Schlichenmaier, M. (eds) Quantization of Singular Symplectic Quotients. Progress in Mathematics, vol 198. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8364-1_13

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  • DOI: https://doi.org/10.1007/978-3-0348-8364-1_13

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9535-4

  • Online ISBN: 978-3-0348-8364-1

  • eBook Packages: Springer Book Archive

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