数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (2): 331-342.doi: 10.1016/S0252-9602(14)60008-4

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INVOLUTIONS WITH FIXED POINT SET RP(2m) ? P(2m, 2n + 1)

孟媛媛|王彦英*   

  1. School of Science, Tianjin Chengjian University, Tianjin 300384, China College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China； College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China
  • 收稿日期:2011-08-15 修回日期:2013-04-07 出版日期:2014-03-20 发布日期:2014-03-20
  • 通讯作者: 王彦英，yywang@mail.hebtu.edu.cn E-mail:mengyuanyuan815@163.com；yywang@mail.hebtu.edu.cn
  • 基金资助:

    Supported by NSFC (11371118), SRFDP (20121303110004), HNSF (A2011205075), and HNUHH (20110403).

INVOLUTIONS WITH FIXED POINT SET RP(2m) ? P(2m, 2n + 1)

 MENG Yuan-Yuan, WANG Yan-Yang*   

  1. School of Science, Tianjin Chengjian University, Tianjin 300384, China College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China； College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China
  • Received:2011-08-15 Revised:2013-04-07 Online:2014-03-20 Published:2014-03-20
  • Contact: WANG Yan-Yang，yywang@mail.hebtu.edu.cn E-mail:mengyuanyuan815@163.com；yywang@mail.hebtu.edu.cn
  • Supported by:

    Supported by NSFC (11371118), SRFDP (20121303110004), HNSF (A2011205075), and HNUHH (20110403).

PDF (PC)

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摘要：

Let (M, T) be a smooth closed manifold with a smooth involution T whose fixed point set is a disjoint union of an even-dimensional real projective space and a Dold manifold. In some cases, the equivariant bordism classes of (M, T) are determined.

关键词: Involution, fixed point set, characteristic class, bordism class

Abstract:

Let (M, T) be a smooth closed manifold with a smooth involution T whose fixed point set is a disjoint union of an even-dimensional real projective space and a Dold manifold. In some cases, the equivariant bordism classes of (M, T) are determined.

Key words: Involution, fixed point set, characteristic class, bordism class

中图分类号: 

  • 57R20
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