32 citations · 84 across the 17 of their papers we have counts for
17 papers
Chow-Witt rings and topology of flag varieties
Thomas Hudson, Ákos K. Matszangosz, Matthias Wendt
The paper computes the Witt-sheaf cohomology rings of partial flag varieties in type A in terms of the Pontryagin classes of the subquotient bundles. The proof is based on a Leray-…
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…
Witt groups of spinor varieties
Thomas Hudson, Arthur Martirosian, Heng Xie
We show that Witt groups of spinor varieties (aka.\ maximal isotropic Grassmannians) can be presented by combinatorial objects called even shifted young diagram. Our method relies…
Stability of Bott--Samelson Classes in Algebraic Cobordism
Thomas Hudson, Tomoo Matsumura, Nicolas Perrin
In this paper, we construct stable Bott--Samelson classes in the projective limit of the algebraic cobordism rings of full flag varieties, upon an initial choice of a reduced word…
On the K-theoretic fundamental classes of Deligne-Lusztig varieties
Thomas Hudson, Dennis Peters
In this paper we express the class of the structure sheaves of the closures of Deligne--Lusztig varieties as explicit double Grothendieck polynomials in the first Chern classes of…
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…
Double Grothendieck Polynomials for Symplectic and Odd Orthogonal Grassmannians
Thomas Hudson, Takeshi Ikeda, Tomoo Matsumura +1
We study the double Grothendieck polynomials of Kirillov--Naruse for the symplectic and odd orthogonal Grassmannians. These functions are explicitly written as sums of Pfaffian and…
Symplectic and odd orthogonal Pfaffian formulas for algebraic cobordism
Thomas Hudson, Tomoo Matsumura
In this paper we provide generalisations of Pfaffian formulas for the degeneracy loci classes in the algebraic cobordism of symplectic/odd orthogonal Grassmann bundles.
Vexillary degeneracy loci classes in K-theory and algebraic cobordism
Thomas Hudson, Tomoo Matsumura
In this paper, we prove determinant formulas for the -theory classes of the structure sheaves of degeneracy loci classes associated to vexillary permutations in type . As a c…
Kempf-Laksov Schubert classes for even infinitesimal cohomology theories
Thomas Hudson, Tomoo Matsumura
In this paper, we prove a generalization of Kempf-Laksov formula for the degeneracy loci classes in even infinitesimal cohomology theories of the Grassmannian bundle and the Lagran…
Pfaffian formula for -theory of odd orthogonal Grassmannians
Thomas Hudson, Takeshi Ikeda, Tomoo Matsumura +1
We prove a Pfaffain formula for the -theory class of the degeneracy loci in the bundle of odd maximal orthogonal Grassmannians.
Segre classes and Kempf-Laksov formula in algebraic cobordism
Thomas Hudson, Tomoo Matsumura
In this paper, we study Segre classes in algebraic cobordism. We also prove a generalization of Kempf-Laksov formula for the degeneracy loci classes in the algebraic cobordism of t…
Generalised symplectic Schubert classes
Thomas Hudson
Under the assumption that the base field k has characteristic 0, we compute the algebraic cobordism fundamental classes of a family of Schubert varieties isomorphic to full and sym…
Degeneracy Loci Classes in -theory - Determinantal and Pfaffian Formula -
Thomas Hudson, Takeshi Ikeda, Tomoo Matsumura +1
We prove a determinantal formula and Pfaffian formulas that respectively describe the -theoretic degeneracy loci classes for Grassmann bundles and for symplectic Grassmann and o…
Fourier-Mukai transformation on algebraic cobordism
Anandam Banerjee, Thomas Hudson
We define a notion of Fourier-Mukai transform on algebraic cobordism cycles with -coefficients on an abelian variety. We use this to produce a Beauville decomposition o…
A Thom-Porteous formula for connective K-theory using 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 specialise our formula to connective K-theory prov…
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…