Quantum cohomology of the Grassmannian and alternate ThomSebastiani

Bumsig Kim, Claude Sabbah

Research output: Contribution to journalArticlepeer-review

Abstract

We introduce the notion of an alternate product of Frobenius manifolds and we give, after Ciocan-Fontanine et al., an interpretation of the Frobenius manifold structure canonically attached to the quantum cohomology of G(r,n+1) in terms of alternate products. We also investigate the relationship with the alternate ThomSebastiani product of Laurent polynomials.

Original languageEnglish
Pages (from-to)221-246
Number of pages26
JournalCompositio Mathematica
Volume144
Issue number1
DOIs
Publication statusPublished - 1 Jan 2008

Keywords

  • Alternate product
  • Frobenius manifold
  • Gauss-Manin system
  • Grassmannian
  • Thom-Sebastiani sum

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