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Orbifold quantum cohomology of weighted projective spaces
Author(s):
Etienne
Mann
Journal:
J. Algebraic Geom.
17
(2008),
137-166.
Posted:
August 16, 2007
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Abstract |
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Additional information
Abstract:
In this article, we prove the following results. - We show a mirror theorem: the Frobenius manifold associated to the orbifold quantum cohomology of weighted projective spaces is isomorphic to the one attached to a specific Laurent polynomial.
- We show a reconstruction theorem; that is, we can reconstruct in an algorithmic way the full genus 0 Gromov-Witten potential from the
 -point invariants.
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Additional Information:
Etienne
Mann
Affiliation:
SISSA, via Beirut 2-4, I-34014 Trieste, Italy
Address at time of publication:
Département de Mathématiques, Université de Montpellier 2, CC~5149, Place Eugène Bataillon, F-34 095 Montpellier Cedex 5, France
Email:
etienne.mann@gmail.com
PII:
S 1056-3911(07)00465-1
Received by editor(s):
December 9, 2005
Received by editor(s) in revised form:
August 31, 2006
Posted:
August 16, 2007
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