Commuting Involutions with Fixed Point Set of Constant Codimension 被引量：6

Commuting Involutions with Fixed Point Set of Constant Codimension

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摘要 Special generators of the unoriented cobordism ring MO* are constructed to determine the groups Jn,kτ of n-dimensional cobordism classes in MOn containing a representative Mn admitting a （Z2）k -action with fixed point set of constant codimension. Special generators of the unoriented cobordism ring MO* are constructed to determine the groups Jn,kτ of n-dimensional cobordism classes in MOn containing a representative Mn admitting a （Z2）k -action with fixed point set of constant codimension.

作者 Yanying Wang Zhende Wu Yanhong Ding, Department of Mathematics, Hebei Normal University, Shijiazhuang 050016, P. R. China

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 1999年第2期181-186,共6页 数学学报（英文版）

基金 This work is supported by HNSF

关键词 Cobordism class Fixed point set Projective space bundle (Z2)k-action Cobordism class Fixed point set Projective space bundle (Z2)k-action

分类号 O1 [理学—基础数学]

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4Yan Ying WANG Zhen De WU Zhao Jing MENG Department of Mathematics,Hebei Normal University,Shijiazhuang 050016.P.R.China E-mail:Wang Yangying@263.net.Commuting Involutions with Fixed Point Set of Variable Codimension[J].Acta Mathematica Sinica,English Series,2001,17(3):425-430. 被引量：1

引证文献6

1李日成,马凯,吴振德.具有常余维数2^k＋4不动点集的（Z2）^k作用[J].Journal of Mathematical Research and Exposition,2005,25(4):659-664. 被引量：5
2丁雁鸿,李日成,李珊珊.具有常余维数2~k+2^(k-2)不动点集的(Z_2)~k作用[J].河北师范大学学报（自然科学版）,2007,31(6):722-725.
3丁雁鸿,李珊珊,李日成.具有常余维数2^k＋2^l不动点集的（Z2）k作用[J].吉林大学学报（理学版）,2007,45(6):907-911.
4丁雁鸿.不动点集具有常余维数2~k+2^(k-1)-2的可交换对合[J].数学的实践与认识,2009,39(18):144-148.
5何江彦,丁雁鸿,冯杏芳.具有常余维数2~k＋7不动点集的（Z_2）~k作用[J].吉林大学学报（理学版）,2012,50(3):439-444.
6冯杏芳,丁雁鸿,何江彦.具有常余维数2k＋5不动点集的（Z2）k作用[J].河北师范大学学报（自然科学版）,2012,36(4):344-349.

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2丁雁鸿,李日成,李珊珊.具有常余维数2~k+2^(k-2)不动点集的(Z_2)~k作用[J].河北师范大学学报（自然科学版）,2007,31(6):722-725.
3丁雁鸿,李珊珊,李日成.具有常余维数2^k＋2^l不动点集的（Z2）k作用[J].吉林大学学报（理学版）,2007,45(6):907-911.
4何江彦,丁雁鸿,冯杏芳.具有常余维数2~k＋7不动点集的（Z_2）~k作用[J].吉林大学学报（理学版）,2012,50(3):439-444.
5冯杏芳,丁雁鸿,何江彦.具有常余维数2k＋5不动点集的（Z2）k作用[J].河北师范大学学报（自然科学版）,2012,36(4):344-349.

1Yan Ying WANG Zhen De WU Zhao Jing MENG Department of Mathematics,Hebei Normal University,Shijiazhuang 050016.P.R.China E-mail:Wang Yangying@263.net.Commuting Involutions with Fixed Point Set of Variable Codimension[J].Acta Mathematica Sinica,English Series,2001,17(3):425-430. 被引量：1
2ZuoLIU ZhenDeWU.(Z_2)~k-Actions with Fixed Point Set of Constant Codimension 2~k+2[J].Acta Mathematica Sinica,English Series,2005,21(2):409-412. 被引量：4
3Gan Danyan Department of Mathematics Zhejiang University Hangzhou,310027 China.On the Notion of Cobordism for Bounded Manifolds[J].Acta Mathematica Sinica,English Series,1994,10(1):59-63.
4Hou Duo Bruce Torrence Hou Duo Department of Mathematics Hebei Teachers University Shijiazhuang,050016 ChinaBruce Torrence Department of Mathematics Georgetown University Washington,D.C.20057 U.S.A..Involutions Fixing the Disjoint Union of Copies of Even Projective Space[J].Acta Mathematica Sinica,English Series,1996,12(2):162-166. 被引量：17
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Acta Mathematica Sinica,English Series

1999年第2期

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Commuting Involutions with Fixed Point Set of Constant Codimension 被引量：6

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