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arXiv · 1701.00204

Vexillary degeneracy loci classes in K-theory and algebraic cobordism

Thomas Hudson·Tomoo Matsumura
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Abstract

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 consequence we obtain determinant formulas for Lascoux-Sch\"utzenberger's double Grothendieck polynomials associated to vexillary permutations. Furthermore, we generalize the determinant formula to algebraic cobordism.

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Thomas Hudson, Tomoo Matsumura. 2017-01-01. Vexillary degeneracy loci classes in K-theory and algebraic cobordism. https://arxiv.org/abs/1701.00204

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