Yang-Mills Connections on Orientable and Nonorientable Surfaces

Author:   Nan-Kuo Ho ,  Chiu-Chu Melissa Liu
Publisher:   American Mathematical Society
Volume:   No. 202
ISBN:  

9780821844915


Pages:   98
Publication Date:   30 November 2009
Format:   Paperback
Availability:   To order   Availability explained
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Yang-Mills Connections on Orientable and Nonorientable Surfaces


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Overview

In """"The Yang-Mills equations over Riemann surfaces"""", Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. In """"Yang-Mills Connections on Nonorientable Surfaces"""", the authors study Yang-Mills functional on the space of connections on a principal $G_{\mathbb{R}}$-bundle over a closed, connected, nonorientable surface, where $G {\mathbb{R}}$ is any compact connected Lie group. In this monograph, the authors generalize the discussion in """"The Yang-Mills equations over Riemann surfaces"""" and """"Yang-Mills Connections on Nonorientable Surfaces"""". They obtain explicit descriptions of equivariant Morse stratification of Yang-Mills functional on orientable and nonorientable surfaces for non-unitary classical groups $SO(n)$ and $Sp(n)$.

Full Product Details

Author:   Nan-Kuo Ho ,  Chiu-Chu Melissa Liu
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 202
Weight:   0.180kg
ISBN:  

9780821844915


ISBN 10:   0821844911
Pages:   98
Publication Date:   30 November 2009
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   To order   Availability explained
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

Table of Contents

Introduction; Topology of Gauge group; Holomorphic principal bundles over Riemann surfaces; Yang-Mills connections and representation varieties; Yang-Mills $SO(2n+1)$-connections; Yang-Mills $SO(2n)$-connections; Yang-Mills $Sp(n)$-connections; Appendix A. Remarks on Laumon-Rapoport formula; Bibliography.

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