Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 18, Number 7 (2018), 4001-4035.
Equivariant complex bundles, fixed points and equivariant unitary bordism
We study the fixed points of the universal –equivariant complex vector bundle of rank and obtain a decomposition formula in terms of twisted equivariant universal complex vector bundles of smaller rank. We use this decomposition to describe the fixed points of the complex equivariant K–theory spectrum and the equivariant unitary bordism groups for adjacent families of subgroups.
Algebr. Geom. Topol., Volume 18, Number 7 (2018), 4001-4035.
Received: 15 November 2017
Revised: 8 April 2018
Accepted: 3 July 2018
First available in Project Euclid: 18 December 2018
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Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 19L47: Equivariant $K$-theory [See also 55N91, 55P91, 55Q91, 55R91, 55S91] 19L50: Twisted $K$-theory; differential $K$-theory 55N22: Bordism and cobordism theories, formal group laws [See also 14L05, 19L41, 57R75, 57R77, 57R85, 57R90] 57R77: Complex cobordism (U- and SU-cobordism) [See also 55N22] 57R85: Equivariant cobordism
Ángel, Andrés; Gómez, José Manuel; Uribe, Bernardo. Equivariant complex bundles, fixed points and equivariant unitary bordism. Algebr. Geom. Topol. 18 (2018), no. 7, 4001--4035. doi:10.2140/agt.2018.18.4001. https://projecteuclid.org/euclid.agt/1545102060