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

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3 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 languageEnglish
Pages (from-to)623-651
Number of pages29
JournalPublications of the Research Institute for Mathematical Sciences
Volume48
Issue number3
DOIs
Publication statusPublished - 2012

Fingerprint

Smooth Manifold
Fixed point
Fixed Point Set
Compact Manifold
Finite Group
Equivalence
Theorem

Keywords

  • Equivariant surgery
  • Homology equivalence
  • Smith equivalence
  • Surgery obstruction
  • Weak gap condition

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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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.",
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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.

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KW - Smith equivalence

KW - Surgery obstruction

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