activity
20102023
most citedEquivariant formality of isotropic torus actions

10 citations · 29 across the 12 of their papers we have counts for

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10 papers · 1 filter

math.AT2022

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…

math.AT2021

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…

math.AT2021★ 1 cited

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…

math.AT2019

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…

math.AT2018

K-theory and formality

Jeffrey D. Carlson

We compute the equivariant K-theory with integer coefficients of an equivariantly formal isotropy action, subject to natural hypotheses which cover the three major classes of known…

math.AT2018★ 2 cited

The equivariant K-theory of a cohomogeneity-one action

Jeffrey D. Carlson

We compute the equivariant complex K-theory ring of a cohomogeneity-one action of a compact Lie group at the level of generators and relations and derive a characterization of K-th…