GORMOV-WITTEN CLASSES, QUANTUM COHOMOLOGY, AND ENUMERATIVE GEOMETRY

被引：529

作者：

KONTSEVICH, M

MANIN, Y

机构：

[1] Max-Planck-Institut für Mathematik, Bonn, D-53225

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1994年 / 164卷 / 03期

关键词：

D O I：

10.1007/BF02101490

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The paper is devoted to the mathematical aspects of topological quantum field theory and its applications to enumerative problems of algebraic geometry. In particular, it contains an axiomatic treatment of Gromov-Witten classes, and a discussion of their properties for Fano varieties. Cohomological Field Theories are defined, and it is proved that tree level theories are determined by their correlation functions. Application to counting rational curves on del Pezzo surfaces and projective spaces are given.

引用

页码：525 / 562

页数：38