10 citations · 29 across the 12 of their papers we have counts for
14 papers
The K-theory of the conjugation action
Jeffrey D. Carlson
In 1999, Brylinski and Zhang computed the complex equivariant K-theory of the conjugation self-action of a compact, connected Lie group with torsion-free fundamental group. In this…
A ring structure on Tor
Jeffrey D. Carlson
We prove that within a natural class of E_3-algebras, the graded Tor group induced by a span of E_3-algebra maps carries a graded algebra structure generalizing the classical struc…
Equivariant formality of corank-one isotropy actions and products of rational spheres
Jeffrey Carlson, Chen He
We completely characterize the pairs of connected Lie groups such that and the left action of on is equivariantly formal…
The topology of Gelfand-Zeitlin fibers
Jeffrey D. Carlson, Jeremy Lane
We prove several new results about the topology of fibers of Gelfand--Zeitlin systems on unitary and orthogonal coadjoint orbits, at the same time finding a unifying framework reco…
The cohomology of biquotients via a product on the two-sided bar construction
Jeffrey D. Carlson
We compute the Borel equivariant cohomology ring of the left -action on a homogeneous space , where is a connected Lie group, and are closed, connected subgroup…
Fixed points and semifree bordism
Jeffrey D. Carlson
We apply fixed-point techniques to compute the coefficient ring of semifree geometric circle-equivariant complex cobordism with isolated fixed points, recovering a 2004 result of S…