Segre classes and Damon-Kempf-Laksov formula in algebraic cobordism

被引：5
|
作者：
Hudson, Thomas [1 ]
Matsumura, Tomoo [2 ]
机构：
[1] Berg Univ Wuppertal, Fachgrp Math & Informat, Gaussstr 20, D-42119 Wuppertal, Germany
[2] Okayama Univ Sci, Dept Appl Math, Okayama 7000005, Japan
来源：
MATHEMATISCHE ANNALEN | 2019年 / 374卷 / 3-4期
基金：
新加坡国家研究基金会;
关键词：
DEGENERACY LOCI CLASSES; SCHUBERT CALCULUS; K-THEORY; COHOMOLOGY;
D O I：
10.1007/s00208-019-01839-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we extend to algebraic cobordism the classical Damon-Kempf-Laksov formula, which expresses the Chow ring Schubert classes of Grassmann bundles as Schur determinants in Chern classes. The basic building block of our closed formula, which is written as a sum of determinants, is represented by a generalisation of Segre classes that we introduce and describe.
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页码：1439 / 1457
页数：19
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