Algebraic & Geometric Topology Volume 16, issue 4 (2016)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

Rational equivariant cohomology theories with toral support

J P C Greenlees

Algebraic & Geometric Topology 16 (2016) 1953–2019

DOI: 10.2140/agt.2016.16.1953

Bibliography

1	D Barnes, Classifying dihedral O(2)–equivariant spectra, preprint (2008) arXiv:0804.3357
2	D Barnes, Rational equivariant spectra, PhD thesis (2008) arXiv:0802.0954
3	D Barnes, Rational O(2)–equivariant spectra, preprint (2012) arXiv:1201.6610
4	T Bröcker, T tom Dieck, Representations of compact Lie groups, 98, Springer (1985) MR781344
5	T tom Dieck, The Burnside ring of a compact Lie group, I, Math. Ann. 215 (1975) 235 MR0394711
6	J P C Greenlees, Rational Mackey functors for compact Lie groups, I, Proc. London Math. Soc. 76 (1998) 549 MR1620500
7	J P C Greenlees, Rational O(2)–equivariant cohomology theories, from: "Stable and unstable homotopy" (editors W G Dwyer, S Halperin, R Kane, S O Kochman, M E Mahowald, P S Selick), Fields Inst. Commun. 19, Amer. Math. Soc. (1998) 103 MR1622341
8	J P C Greenlees, Rational S¹–equivariant stable homotopy theory, 661, Amer. Math. Soc. (1999) MR1483831
9	J P C Greenlees, Rational SO(3)–equivariant cohomology theories, from: "Homotopy methods in algebraic topology" (editors J P C Greenlees, R R Bruner, N Kuhn), Contemp. Math. 271, Amer. Math. Soc. (2001) 99 MR1831349
10	J P C Greenlees, Triangulated categories of rational equivariant cohomology theories, Oberwolfach Rep. 3 (2006) 480
11	J P C Greenlees, Rational torus-equivariant stable homotopy, I : Calculating groups of stable maps, J. Pure Appl. Algebra 212 (2008) 72 MR2355035
12	J P C Greenlees, Rational torus-equivariant stable homotopy, II : Algebra of the standard model, J. Pure Appl. Algebra 216 (2012) 2141 MR2925809
13	J P C Greenlees, Algebraic models of induction and coinduction, preprint (2014) arXiv:1501.06167
14	J P C Greenlees, Rational torus-equivariant stable homotopy, III : Comparison of models, J. Pure Appl. Algebra 220 (2016) 3573 MR3506470
15	J P C Greenlees, B Shipley, An algebraic model for rational torus-equivariant spectra, preprint (2011) arXiv:1101.2511
16	J P C Greenlees, B Shipley, An algebraic model for free rational G–spectra, Bull. Lond. Math. Soc. 46 (2014) 133 MR3161769
17	M Kedziorek, Algebraic models for rational G–spectra, PhD thesis (2014)
18	L Solomon, Invariants of finite reflection groups, Nagoya Math. J. 22 (1963) 57 MR0154929