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Equivariant Formality for Actions of Torus Groups

Published online by Cambridge University Press:  20 November 2018

Laura Scull
Laura Scull*
Affiliation:
The University of British Columbia, Department of Mathematics, 1984 Mathematics Road, Vancouver, BC, V6T 1Z2 e-mail: scull@math.ubc.ca
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Abstract

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This paper contains a comparison of several definitions of equivariant formality for actions of torus groups. We develop and prove some relations between the definitions. Focusing on the case of the circle group, we use ${{S}^{1}}$ -equivariant minimal models to give a number of examples of ${{S}^{1}}$-spaces illustrating the properties of the various definitions.

Keywords

55P9155P6255R3555S45Equivariant homotopycircle actionminimal modelrationalizationformality
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 56 , Issue 6 , 01 December 2004 , pp. 1290 - 1307
Copyright
Copyright © Canadian Mathematical Society 2004

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