Article ID Journal Published Year Pages File Type
4664777 Acta Mathematica Scientia 2006 9 Pages PDF
Abstract

In this article, using the WDVV equation, the author first proves that all Gromov-Witten invariants of blowups of surfaces can be computed from the Gromov-Witten invariants of itself by some recursive relations. Furthermore, it may determine the quantum product on blowups. It also proves that there is some degree of functoriality of the big quantum cohomology for a blowup.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)