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4 papers
Koszul homomorphisms and universal resolutions in local algebra
Benjamin Briggs, James C. Cameron, Janina C. Letz +1
We define a local homomorphism to be Koszul if its derived fiber is formal, and if is Koszul in the cla…
Homological residue fields as comodules over coalgebras
James C. Cameron, Greg Stevenson
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 r…
Computing homological residue fields in algebra and topology
Paul Balmer, James C. Cameron
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…
On the Duflot filtration for equivariant cohomology rings and applications to group cohomology
James C. Cameron
We study the Duflot filtration on the Borel equivariant cohomology of smooth manifolds with a smooth -torus action. We axiomatize the filtration and prove analog of several stru…