Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 16, Number 4 (2016), 1953-2019.
Rational equivariant cohomology theories with toral support
For an arbitrary compact Lie group , we describe a model for rational –spectra with toral geometric isotropy and show that there is a convergent Adams spectral sequence based on it. The contribution from geometric isotropy at a subgroup of the maximal torus of is captured by a module over with an action of , where is the identity component of .
Algebr. Geom. Topol., Volume 16, Number 4 (2016), 1953-2019.
Received: 15 January 2015
Revised: 29 October 2015
Accepted: 6 November 2015
First available in Project Euclid: 28 November 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 55N91: Equivariant homology and cohomology [See also 19L47] 55P42: Stable homotopy theory, spectra 55P91: Equivariant homotopy theory [See also 19L47]
Secondary: 55P92: Relations between equivariant and nonequivariant homotopy theory 55T15: Adams spectral sequences
Greenlees, J P C. Rational equivariant cohomology theories with toral support. Algebr. Geom. Topol. 16 (2016), no. 4, 1953--2019. doi:10.2140/agt.2016.16.1953. https://projecteuclid.org/euclid.agt/1511895905