On the topology of real bundle pairs over nodal symmetric surfaces

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• 作者：Penka Georgieva^a ; ¹ ; ^{penka.georgieva@imj-prg.fr" class="auth_mail" title="E-mail the corresponding author} ; Aleksey Zinger^b ; ² ; ^{azinger@math.stonybrook.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Classification ; Real bundle pairs ; Symmetric surfaces
• 刊名：Topology and its Applications
• 出版年：2016
• 出版时间：1 December 2016
• 年：2016
• 卷：214
• 期：Complete
• 页码：109-126
• 全文大小：444 K

文摘

We give an alternative argument for the classification of real bundle pairs over smooth symmetric surfaces and extend this classification to nodal symmetric surfaces. We also classify the homotopy classes of automorphisms of real bundle pairs over symmetric surfaces. The two statements together describe the isomorphisms between real bundle pairs over symmetric surfaces up to deformation.