Vexillary degeneracy loci classes in K-theory and algebraic cobordism

被引：8

作者：

Hudson, Thomas ^{[1
]}

Matsumura, Tomoo ^{[2
]}

机构：

[1] Berg Univ Wuppertal, Fachbereich Math & Informat, Gaussstr 20, D-42119 Wuppertal, Germany

[2] Okayama Univ Sci, Dept Appl Math, Okayama 7000005, Japan

来源：

EUROPEAN JOURNAL OF COMBINATORICS | 2018年 / 70卷

关键词：

SCHUBERT POLYNOMIALS; GYSIN-HOMOMORPHISM; GROTHENDIECK RING; FORMULA;

D O I：

10.1016/j.ejc.2018.01.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove determinantal formulas for the K-theory classes of the structure sheaves of degeneracy loci associated to vexillary permutations in type A. As a consequence we obtain determinantal formulas for Lascoux-Schiltzenberger's double Grothendieck polynomials associated to vexillary permutations. We also prove a generalization of the formula in algebraic cobordism. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：190 / 201

页数：12

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