Free involutions on S1?× Sn

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• 作者：Bj?rn Jahren (1) bjoernj@math.uio.no
  S?awomir Kwasik (2) kwasik@math.tulane.edu
• 关键词：Mathematics Subject Classification (2000) 57S25 – 57R67 – 55P10
• 刊名：Mathematische Annalen
• 出版年：2011
• 出版时间：October 2011
• 年：2011
• 卷：351
• 期：2
• 页码：281-303
• 全文大小：305.0 KB
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• 作者单位：1. Department of Mathematics, University of Oslo, Oslo, Norway2. Department of Mathematics, Tulane University, New Orleans, LA, USA
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-1807

文摘

Topological free involutions on S 1 × S n are classified up to conjugation. We prove that this is the same as classifying quotient manifolds up to homeomorphism. There are exactly four possible homotopy types of such quotients, and surgery theory is used to classify all manifolds within each homotopy type.