Oriented $\boldsymbol Z_4$ Actions without Stationary Points | Zendy

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Oriented $\boldsymbol Z_4$ Actions without Stationary Points

Author(s) -

Tamio Hara

Publication year - 1994

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195166131

Subject(s) - mathematics , section (typography) , order (exchange) , image (mathematics) , combinatorics , element (criminal law) , ideal (ethics) , connection (principal bundle) , cobordism , geometry , philosophy , finance , epistemology , artificial intelligence , advertising , economics , computer science , political science , law , business

Let Z2k denote the cyclic group of order 2 k (k^2). In [8], we have studied the theory W * ( Z Z k ' , A f ) of almost free Z2k actions on closed Wall manifolds, i. e., an element g^Z2k has no fixed point on the manifolds unless g is 1 or the unique element of order two. When k=2, such objects are the stationary point free ("proper") Z± actions and the above theory is denoted by W*(Z4 ; p). On the other hand let Q*(ZL ; p) be the theory of oriented (orientationpreserving), stationary point free Z± actions, which has been studied in [16]. Letting fl* be the oriented cobordism ring, then

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