Quantum cohomology of the Grassmannian and alternate Thom-Sebastiani

Details Quantum cohomology of the Grassmannian and alternate Thom-Sebastiani Quantum cohomology of the Grassmannian and alternate Thom-Sebastiani

2006-11-15

arxiv.org/abs/math/0611475v3

Compos. Math. 144 (2008), no. 1, 221--246

Mathematics

Algebraic Geometry

29 pages. Revised version: Corollary 1.9 corrected, minor mistakes corrected, few typos corrected

Scientific paper

10.1112/S0010437X07003120

We introduce the notion of alternate product of Frobenius manifolds and we
give, after [math.AG/0610265], 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
Thom-Sebastiani product of Laurent polynomials.

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