On the Spectrum of the Equivariant Cohomology Ring

By Mark Goresky, Robert D. MacPherson. Canadian Journal of Mathematics - Journal Canadien de Mathematiques, 2010

245 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/4e5772bf3f6ed82bf01b713e83f9e370a5a6162a

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In Discrete Mathematics and Combinatorics

1. J. Noel
2. N. Axel Naumann
3. D. Benson
4. Henning Krause
5. S. Iyengar
6. A. Mathew
7. I. Leary
8. Piotr Pstrągowski

In Geometry and Topology

1. S. Iyengar
2. Henning Krause
3. D. Benson
4. A. Mathew
5. N. Axel Naumann
6. J. Noel
7. Greg Stevenson
8. I. Leary

Citations in the corpus

• Colocalizing subcategories and cosupport (2010, background): “r Quillen has proved that for each p in VG there exists a pair ðE; qÞ such that E is an elementary abelian subgroup of G and res G;EðqÞ 1⁄4 p; see the discussion after [22], Proposition 11.”
• A metric Kan–Thurston theorem (2010, methodology): “In particular, Corollary 23 is an extension to Quillen’s theorem on the spectrum of a Borel equivariant cohomology ring [31], and Theorem 24 generalizes an observation of Block [5, Introduction].”
• Stratifying modular representations of finite groups (2008, unknown): “The crucial new input required here is Quillen’s stratification theorem [27, 28].”
• Nilpotence and descent in equivariant stable homotopy theory (2015, methodology): “Let Top denote the model category of compactly generated topological spaces (i.e., weak Hausdorff k-spaces) with the Quillen model structure (where weak equivalences are weak homotopy equivalences and fibrations are Serre fibrations).”
• The Galois group of a stable homotopy theory (2014, background): “From this, and Theorem 4.5 (and the immediately following remark), one obtains the following corollary, which is known to modular representation theorists and is a generalization of the description by Quillen [Qui71] of the cohomology ring of a finite group up to F -isomorphism.”
• Stratifying triangulated categories (2009, unknown): “For the stable module category of G, this condition yields a parameterization of localizing subcategories reminiscent of, and enhancing, Quillen stratification [30] of the cohomology algebra of G, whence the name.”