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OverviewIn """"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 DetailsAuthor: Nan-Kuo Ho , Chiu-Chu Melissa LiuPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: No. 202 Weight: 0.180kg ISBN: 9780821844915ISBN 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 ![]() 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 ContentsIntroduction; 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.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |