5 citations · 8 across the 12 of their papers we have counts for
13 papers
The -equivariant ordinary cohomology of complex quadrics III: Exceptional cases
Steven R. Costenoble, Thomas Hudson
In this, the last of three papers about -equivariant complex quadrics, we complete the calculation of the equivariant ordinary cohomology of smooth symmetric quadrics in the c…
The -equivariant ordinary cohomology of complex quadrics II: The symmetric case
Steven R. Costenoble, Thomas Hudson
In this, the second of three papers about -equivariant complex quadrics, we calculate the equivariant ordinary cohomology of smooth symmetric quadrics graded on the representa…
The -equivariant ordinary cohomology of complex quadrics I: The antisymmetric case
Steven R. Costenoble, Thomas Hudson
In this, the first of three papers about -equivariant complex quadrics, we calculate the equivariant ordinary cohomology of smooth antisymmetric quadrics. One of these quadric…
The -equivariant ordinary cohomology of
Steven R. Costenoble, Thomas Hudson
We calculate the ordinary -cohomology of with Burnside ring coefficients, using an extended grading that allows us to capture a more natural set of generators. We discu…
The -equivariant ordinary cohomology of
Steven R. Costenoble, Thomas Hudson
We calculate the ordinary -cohomology, with Burnside ring coefficients, of , the classifying space for -equivariant complex 2-plane bundles, using an extended grad…
A geometric -equivariant Bézout Theorem
Steven R. Costenoble, Thomas Hudson
Classically, Bézout's theorem says that an intersection of hypersurfaces in a projective space is rationally equivalent to a number of copies of a smaller projective space, the num…
An algebraic -equivariant Bézout's theorem
Steven R. Costenoble, Thomas Hudson, Sean Tilson
Bézout's theorem, nonequivariantly, can be interpreted as a calculation of the Euler class of a sum of line bundles over complex projective space, expressing it in terms of the ran…
The -equivariant cohomology of complex projective spaces
Steven R. Costenoble, Thomas Hudson, Sean Tilson
We compute the equivariant cohomology of complex projective spaces associated to finite-dimensional representations of , using ordinary cohomology graded on representations of…
The ordinary cohomology of
Steven R. Costenoble
With , prime, we calculate the ordinary -cohomology (with Burnside ring coefficients) of , the complex projective space, a…
The equivariant Spivak normal bundle and equivariant surgery for compact Lie groups
Steven R. Costenoble, Stefan Waner
We generalize the results of a previous paper of ours to compact Lie groups. Using a recently developed ordinary equivariant homology and cohomology, we define equivariant Poincare…
The -graded -equivariant ordinary cohomology of
Steven R. Costenoble
We calculate the ordinary -cohomology, with Burnside ring coefficients, of , the complex projective space, a model for the classifying space fo…
Equivariant ordinary homology and cohomology
Steven R. Costenoble, Stefan Waner
Poincare duality lies at the heart of the homological theory of manifolds. In the presence of the action of a group it is well-known that Poincare duality fails in Bredon's ordinar…
Simplicial and categorical comma categories
Steven R. Costenoble
We consider four categories: the category of diagrams of small categories indexed by a given small category O, the (comma) category of small categories over O, the category of diag…