2003年3月
Smooth actions of finite Oliver groups on spheres
TOPOLOGY
- ,
- 巻
- 42
- 号
- 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
- ID情報
-
- DOI : 10.1016/S0040-9383(02)00008-3
- ISSN : 0040-9383
- Web of Science ID : WOS:000179722500006