Vol. 305, No. 2, 2020

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Strongly algebraic realization of dihedral group actions

Karl Heinz Dovermann

Vol. 305 (2020), No. 2, 563–576
DOI: 10.2140/pjm.2020.305.563
Abstract

Let D2q be the dihedral group with 2q elements and suppose that q is not divisible by 4. Let M be a closed smooth D2q-manifold. Then there exists a nonsingular real algebraic D2q-variety X which is equivariantly diffeomorphic to M and all D2q-vector bundles over X are strongly algebraic.

Keywords
real algebraic models, equivariant bordism
Mathematical Subject Classification 2010
Primary: 14P25
Secondary: 57S15, 57S25
Milestones
Received: 20 August 2018
Revised: 29 July 2019
Accepted: 30 July 2019
Published: 29 April 2020
Authors
Karl Heinz Dovermann
Department of Mathematics
University of Hawaii at Manoa
Honolulu, HI
United States