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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 -theory classes of the structure sheaves of degeneracy loci classes associated to vexillary permutations in type . 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…