Deformed cohomology of flag varieties

被引：0

作者：

Pechenik, Oliver ^{[1
,2
]}

Searles, Dominic ^{[3
,4
]}

机构：

[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

[3] Univ Southern Calif, Dept Math, Los Angeles, CA 90089 USA

[4] Univ Otago, Dept Math & Stat, Dunedin 9016, New Zealand

来源：

MATHEMATICAL RESEARCH LETTERS | 2018年 / 25卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper introduces a two-parameter deformation of the cohomology of generalized flag varieties. One special case is the Belkale-Kumar deformation (used to study eigencones of Lie groups). Another picks out intersections of Schubert varieties that behave nicely under projections. Our construction yields a new proof that the Belkale-Kumar product is well-defined. This proof is shorter and more elementary than earlier proofs.

引用

下载

页码：649 / 657

页数：9

共 50 条

[21] Equivariant cohomology and K-theory of Bott-Samelson varieties and flag varieties
Willems, M
BULLETIN DE LA SOCIETE MATHEMATIQUE DE FRANCE, 2004, 132 (04): : 569 - 589
[22] Totally positive toeplitz matrices and quantum cohomology of partial flag varieties
Rietsch, K
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 16 (02) : 363 - 392
[23] EXTENDED QUADRATIC ALGEBRA AND A MODEL OF THE EQUIVARIANT COHOMOLOGY RING OF FLAG VARIETIES
Kirillov, A. N.
Maeno, T.
ST PETERSBURG MATHEMATICAL JOURNAL, 2011, 22 (03) : 447 - 462
[24] Categorified Quantum sl(2) and Equivariant Cohomology of Iterated Flag Varieties
Lauda, Aaron D.
ALGEBRAS AND REPRESENTATION THEORY, 2011, 14 (02) : 253 - 282
[25] Mutations of puzzles and equivariant cohomology of two-step flag varieties
Buch, Anders Skovsted
ANNALS OF MATHEMATICS, 2015, 182 (01) : 173 - 220
[26] Representation ring of Levi subgroups versus cohomology ring of flag varieties
Kumar, Shrawan
MATHEMATISCHE ANNALEN, 2016, 366 (1-2) : 395 - 415
[27] Representation ring of Levi subgroups versus cohomology ring of flag varieties
Shrawan Kumar
Mathematische Annalen, 2016, 366 : 395 - 415
[28] Categorified Quantum sl(2) and Equivariant Cohomology of Iterated Flag Varieties
Aaron D. Lauda
Algebras and Representation Theory, 2011, 14 : 253 - 282
[29] Representation ring of Levi subgroups versus cohomology ring of flag varieties III
Kumar, Shrawan
Xie, Jiale
JOURNAL OF PURE AND APPLIED ALGEBRA, 2024, 228 (04)
[30] Representation ring of Levi subgroups versus cohomology ring of flag varieties II
Kumar, Shrawan
Rogers, Sean
JOURNAL OF ALGEBRA, 2020, 556 : 340 - 362

← 1 2 3 4 5 →