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.
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页码：190 / 201
页数：12
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