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pro vyhledávání: '"Cameron, James C."'
We define a local homomorphism $(Q,k)\to (R,\ell)$ to be Koszul if its derived fiber $R \otimes^{\mathsf{L}}_Q k$ is formal, and if $\operatorname{Tor}^Q(R,k)$ is Koszul in the classical sense. This recovers the classical definition when $Q$ is a fie
Externí odkaz:
http://arxiv.org/abs/2310.08400
Autor:
Cameron, James C., Stevenson, Greg
We explicitly present homological residue fields for tensor triangulated categories as categories of comodules in a number of examples across algebra, geometry, and topology. Our results indicate that, despite their abstract nature, they are very nat
Externí odkaz:
http://arxiv.org/abs/2109.10827
Autor:
Balmer, Paul, Cameron, James C.
Publikováno v:
Proc. Amer. Math. Soc. 149 (2021), no. 8, 3177-3185
We determine the homological residue fields, in the sense of tensor-triangular geometry, in a series of concrete examples ranging from topological stable homotopy theory to modular representation theory of finite groups.
Comment: 9 pages
Comment: 9 pages
Externí odkaz:
http://arxiv.org/abs/2007.04485
Autor:
Cameron, James C.
We study the Duflot filtration on the Borel equivariant cohomology of smooth manifolds with a smooth $p$-torus action. We axiomatize the filtration and prove analog of several structural results about equivariant cohomology rings in this setting. We
Externí odkaz:
http://arxiv.org/abs/1711.05832
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