Thomas Hudson

collaborators

3 papers

math.AT2024

The $C_{2}$ -equivariant ordinary cohomology of $B U (2)$

Steven R. Costenoble, Thomas Hudson

We calculate the ordinary $C_{2}$ -cohomology, with Burnside ring coefficients, of $B U (2)$ , the classifying space for $C_{2}$ -equivariant complex 2-plane bundles, using an extended grad…

math.AG2017

Vexillary degeneracy loci classes in K-theory and algebraic cobordism

Thomas Hudson, Tomoo Matsumura

In this paper, we prove determinant formulas for the $K$ -theory classes of the structure sheaves of degeneracy loci classes associated to vexillary permutations in type $A$ . As a c…

math.AG2012

Thom-Porteous formulas in algebraic cobordism

Thomas Hudson

We prove a formula for the push-forward class of Bott-Samelson resolutions in the algebraic cobordism ring of the flag bundle. We then provide a geometric interpretation to the dou…

The C2​-equivariant ordinary cohomology of BU(2)

Vexillary degeneracy loci classes in K-theory and algebraic cobordism

Thom-Porteous formulas in algebraic cobordism

The $C_{2}$ -equivariant ordinary cohomology of $B U (2)$