Acta mathematica scientia,Series B ›› 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)

 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).

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

CLC Number: 

  • 57R20
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