Quantum cohomology of the Grassmannian and alternate ThomSebastiani

Bumsig Kim; Claude Sabbah

doi:10.1112/S0010437X07003120

Quantum cohomology of the Grassmannian and alternate ThomSebastiani

Bumsig Kim
, Claude Sabbah

Korea Institute for Advanced Study

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

5 Citations (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	221-246
Nombre de pages	26
journal	Compositio Mathematica
Volume	144
Numéro de publication	1
Les DOIs	https://doi.org/10.1112/S0010437X07003120
état	Publié - 1 janv. 2008

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10.1112/S0010437X07003120

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AB - 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.

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KW - Frobenius manifold

KW - Gauss-Manin system

KW - Grassmannian

KW - Thom-Sebastiani sum

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DO - 10.1112/S0010437X07003120

M3 - Article

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Quantum cohomology of the Grassmannian and alternate ThomSebastiani

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