Deleting and inserting fixed point manifolds under the weak gap condition: Dedicated to professor Krzysztof Pawalowski on his 60th birthday

Masaharu Morimoto

doi:10.2977/PRIMS/84

Deleting and inserting fixed point manifolds under the weak gap condition: Dedicated to professor Krzysztof Pawalowski on his 60th birthday

Masaharu Morimoto

Graduate School of Natural Science and Technology

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Let G be a finite group and X a compact smooth manifold. It is of interest which smooth manifolds can be the G-fixed point sets of smooth G-actions on X. The deleting-inserting theorem of this paper is related to this problem and has applications to one-fixed-point actions on spheres as well as to Smith equivalence. 2010 Mathematics Subject Classification: Primary 57S17; Secondary 57R67, 19J25, 20C05.

Original language	English
Pages (from-to)	623-651
Number of pages	29
Journal	Publications of the Research Institute for Mathematical Sciences
Volume	48
Issue number	3
DOIs	https://doi.org/10.2977/PRIMS/84
Publication status	Published - 2012

Keywords

Equivariant surgery
Homology equivalence
Smith equivalence
Surgery obstruction
Weak gap condition

ASJC Scopus subject areas

Mathematics(all)

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10.2977/PRIMS/84

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N2 - Let G be a finite group and X a compact smooth manifold. It is of interest which smooth manifolds can be the G-fixed point sets of smooth G-actions on X. The deleting-inserting theorem of this paper is related to this problem and has applications to one-fixed-point actions on spheres as well as to Smith equivalence. 2010 Mathematics Subject Classification: Primary 57S17; Secondary 57R67, 19J25, 20C05.

AB - Let G be a finite group and X a compact smooth manifold. It is of interest which smooth manifolds can be the G-fixed point sets of smooth G-actions on X. The deleting-inserting theorem of this paper is related to this problem and has applications to one-fixed-point actions on spheres as well as to Smith equivalence. 2010 Mathematics Subject Classification: Primary 57S17; Secondary 57R67, 19J25, 20C05.

KW - Equivariant surgery

KW - Homology equivalence

KW - Smith equivalence

KW - Surgery obstruction

KW - Weak gap condition

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Deleting and inserting fixed point manifolds under the weak gap condition: Dedicated to professor Krzysztof Pawalowski on his 60th birthday

Abstract

Keywords

ASJC Scopus subject areas

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