INVOLUTIONS FIXING ∪（from i=1 to m） CP_i(1) × HP_i(n)

作者：Zhao Suqian Wang Yanying College of Mathematics and Information Science Hebei Normal University Shijiazhuang China College of Sciences Hebei University of Science and Technology Shijiazhuang China

来源：Acta Mathematica Scientia, 2012, (03): 1021-1034.

• Involution
• bordism
• fixed point set
• Stiefel-Whitney classKey words Involution
• Stiefel-Whitney class

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 = ∪(from i=1 to m) CP i(1) × HP i(n) are determined,where CP(1) and H P(n) denote the 1-dimensional complex projective space and n-dimensional quaternionic projective space respectively,and n = 2p-2 or n = 2p-1(p > 1).