-
- MASUDA Mikiya
- Department of Mathematics Osaka City University
-
- SCHULTZ Reinhard
- Department of Mathematics University of California
この論文をさがす
抄録
In both ordinary and equivariant 3-dimensional topology there are strong uniqueness theorems for connected sum decompositions of manifolds, but in ordinary higher dimensional topology such decompositions need not be unique. This paper constructs families of manifolds with smooth group actions that are equivariantly almost diffeomorphic but have infinitely many inequivalent equivariant connected sum repre-sentations for which one summand is fixed. The examples imply the need for restrictions in any attempt to define Atiyah-Singer type invariants for odd dimensional manifolds with nonfree smooth group actions. Applications to other questions are also considered.
収録刊行物
-
- Journal of the Mathematical Society of Japan
-
Journal of the Mathematical Society of Japan 51 (2), 413-435, 1999
一般社団法人 日本数学会
- Tweet
キーワード
詳細情報 詳細情報について
-
- CRID
- 1390282680092759296
-
- NII論文ID
- 10002151712
-
- NII書誌ID
- AA0070177X
-
- ISSN
- 18811167
- 18812333
- 00255645
-
- MRID
- 1674757
-
- NDL書誌ID
- 4712219
-
- 本文言語コード
- en
-
- データソース種別
-
- JaLC
- NDL
- Crossref
- CiNii Articles
-
- 抄録ライセンスフラグ
- 使用不可