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INVOLUTIONS FIXING ∪(from i=1 to m) CP_i(1) × HP_i(n) 被引量:3

INVOLUTIONS FIXING ∪(from i=1 to m) CP_i(1) × HP_i(n)
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摘要 Let (M, T) be a closed manifold with an involution T. The fixed point set of T is F. In this article, bordism classes of the involutions with fixed point set F = ^mUi=1 CPi(1)×HPi(n) are determined, where CP(1) and HP(n) denote the 1-dimensional i=1 complex projective space and n-dimensional quaternionic projective space respectively, and n=2^p-2or n=2^p-1(p〉 1). Let (M, T) be a closed manifold with an involution T. The fixed point set of T is F. In this article, bordism classes of the involutions with fixed point set F = ^mUi=1 CPi(1)×HPi(n) are determined, where CP(1) and HP(n) denote the 1-dimensional i=1 complex projective space and n-dimensional quaternionic projective space respectively, and n=2^p-2or n=2^p-1(p〉 1).
出处 《Acta Mathematica Scientia》 SCIE CSCD 2012年第3期1021-1034,共14页 数学物理学报(B辑英文版)
基金 supported by NSFC (10971050 11001073 10901045) HNSFC(A2010000828) FHUST (XL201043 QD201021)
关键词 INVOLUTION BORDISM fixed point set Stiefel-Whitney class Involution bordism fixed point set Stiefel-Whitney class
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