6 papers · 1 filter
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…