Equivariant RO(G)-graded bordism theories
type: Item
instance of: scholarly article
title: Equivariant RO(G)-graded bordism theories
zbMATH Open document ID: 0552.57013
DOI: 10.1016/0166-8641(84)90019-1
author: S. Waner
published in: Topology and its Applications
publication date: 1984-01-01T00:00:00Z
review text: RO(G)-graded bordism of finite group actions was first studied by \textit{W. Pulikowski} in [Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 21, 991-995 (1973; Zbl 0269.55005)], and subsequently by the reviewer in [Quart. J. Math., Oxf. II. Ser. 26, 411-419 (1975; Zbl 0313.57025)]. Techniques of Conner, Floyd and Stong were used to obtain splitting results. In this paper representing equivariant Thom spectra are constructed, and the relevant transversality results proved. New methods for splitting away from the order of G are described, and behaviour in the presence of a gap hypothesis is examined.
Mathematics Subject Classification ID: 57R85
Mathematics Subject Classification ID: 55N22
Mathematics Subject Classification ID: 57S17
Mathematics Subject Classification ID: 55N91
zbMATH DE Number: 3879743
zbMATH Keywords: G-transversality
zbMATH Keywords: RO(G)-graded bordism of finite group actions
zbMATH Keywords: equivariant Thom spectra
zbMATH Keywords: gap hypothesis
reviewed by: Czes Kosniowski
MaRDI profile type: Publication
full work available at URL: 0166-8641(84)90019-1
OpenAlex ID: W2093024027
cites work: Bordism of \(G\)-manifolds and integrality theorems
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description: scientific article; zbMATH DE number 3879743