MISC

2003年3月

Smooth actions of finite Oliver groups on spheres

TOPOLOGY
  • M Morimoto
  • ,
  • K Pawalowski

42
2
開始ページ
395
終了ページ
421
記述言語
英語
掲載種別
DOI
10.1016/S0040-9383(02)00008-3
出版者・発行元
PERGAMON-ELSEVIER SCIENCE LTD

In this article, we deal with the following two questions. For smooth actions of a given finite group G on spheres S, which smooth manifolds F occur as the fixed point sets in S, and which real G-vector bundles v over F occur as the equivariant normal bundles of F in S? We focus on the case G is an Oliver group and answer both questions under some conditions imposed on G, F, and v. We construct smooth actions of G on spheres by making use of equivariant surgery, equivariant thickening, and Oliver's equivariant bundle extension method modified by an equivariant wegde sum construction and an equivariant bundle subtraction procedure. (C) 2002 Elsevier Science Ltd. All rights reserved.

リンク情報
DOI
https://doi.org/10.1016/S0040-9383(02)00008-3
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000179722500006&DestApp=WOS_CPL
ID情報
  • DOI : 10.1016/S0040-9383(02)00008-3
  • ISSN : 0040-9383
  • Web of Science ID : WOS:000179722500006

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