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Theses

Cohomologie quantique orbifolde des espaces projectifs à poids

Abstract : In 2001, Barannikov showed that the Frobenius manifold coming from the quantum cohomology of the complex projective space is isomorphic to the Frobenius manifold associated to a Laurent polynomial.

The purpose of this thesis is to generalize this result. More precisely, we show, up to a conjecture on the value of some orbifold Gromov-Witten invariants, that the Frobenius structure obtained on the orbifold quantum cohomology of the weighted projective spaces is isomorphic to the one obtained from a Laurent polynomial.
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https://tel.archives-ouvertes.fr/tel-00011651
Contributor : Etienne Mann <>
Submitted on : Monday, February 20, 2006 - 9:13:04 PM
Last modification on : Friday, June 19, 2020 - 9:10:04 AM
Long-term archiving on: : Saturday, April 3, 2010 - 8:42:39 PM

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  • HAL Id : tel-00011651, version 1

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Etienne Mann. Cohomologie quantique orbifolde des espaces projectifs à poids. Mathématiques [math]. Université Louis Pasteur - Strasbourg I, 2005. Français. ⟨NNT : 2005STR13084⟩. ⟨tel-00011651⟩

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