Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-25T05:30:40.891Z Has data issue: false hasContentIssue false
  • English
  • Français

Quantum Cohomology of Grassmannians

Published online by Cambridge University Press:  04 December 2007

Anders Skovsted Buch
Anders Skovsted Buch
Affiliation:
Matematish Institut, Aarhus Universitet, Ny Munkegade, 8000 Århus C, Denmark. e-mail: [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 give elementary proofs of the main theorems about the (small) quantum cohomology of Grassmannians, including the quantum Giambelli and quantum Pieri formulas, the rim-hook algorithm, the presentation, and a recent theorem of Fulton and Woodward about the minimal q-power which appears in a product of two Schubert classes.

Keywords

quantum cohomologyGromov–Witten invariantsGrassmann varieties
Type
Research Article
Information
Compositio Mathematica , Volume 137 , Issue 2 , June 2003 , pp. 227 - 235
Copyright
© 2003 Kluwer Academic Publishers