QUANTUM COHOMOLOGY OF FLAG MANIFOLDS AND TODA-LATTICES

被引：124

作者：

GIVENTAL, A

KIM, B

机构：

[1] Dept. of Math., University of California, Berkeley, 94720, CA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1995年 / 168卷 / 03期

关键词：

D O I：

10.1007/BF02101846

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We discuss relations of Vafa's quantum cohomology with Floer's homology theory, introduce equivariant quantum cohomology, formulate some conjectures about its general properties and, on the basis of these conjectures, compute quantum cohomology algebras of the flag manifolds. The answer turns out to coincide with the algebra of regular functions on an invariant lagrangian variety of a Toda lattice.

引用

页码：609 / 641

页数：33

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