Recent developments in algebraic combinatorics

被引：0
|
作者：
Richard P. Stanley
机构：
[1] Massachusetts Institute of Technology,Department of Mathematics
来源：
Israel Journal of Mathematics | 2004年 / 143卷
关键词：
Cluster Algebra; Intersection Cohomology; Schubert Class; Algebraic COMBINATORICS; Schubert Calculus;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We survey three recent developments in algebraic combinatorics. The first is the theory of cluster algebras and the Laurent phenomenon of Sergey Fomin and Andrei Zelevinsky. The second is the construction of toric Schur functions and their application to computing three-point Gromov-Witten invariants, by Alexander Postnikov. The third development is the construction of intersection cohomology for nonrational fans by Paul Bressler and Valery Lunts and its application by Kalle Karu to the torich-vector of a nonrational polytope. We also briefly discuss the “half hard Lefschetz theorem” of Ed Swartz and its application to matroid complexes.
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页码：317 / 339
页数：22
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