On the quantum product of Schubert classes

W. Fulton, C. Woodward

Research output: Contribution to journalArticlepeer-review

79 Scopus citations

Abstract

We give a formula for the smallest powers of the quantum parameters q that occur in a product of Schubert classes in the (small) quantum cohomology of general flag varieties G/P. We also include a complete proof of Peterson's quantum version of Chevalley's formula, also for general G/P's.

Original languageEnglish (US)
Pages (from-to)641-661
Number of pages21
JournalJournal of Algebraic Geometry
Volume13
Issue number4
DOIs
StatePublished - Oct 2004

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Geometry and Topology

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