Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-24T13:26:28.491Z Has data issue: false hasContentIssue false

Transformation formulas in quantum cohomology

Published online by Cambridge University Press:  04 December 2007

Prakash Belkale
Affiliation:
Department of Mathematics, UNC-Chapel Hill, CB #3250, Phillips Hall, Chapel Hill, NC 27599, [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We discuss a natural action of the center of G on the Gromov–Witten numbers of G/B's and G/P's. This action is suggested by some problems in representation theory. The quantum Schubert calculus of Grassmannians is an easy consequence of this action. We also strengthen a theorem of Fulton and Woodward, in the case of Grasmannians.

Type
Research Article
Copyright
Foundation Compositio Mathematica 2004