Curves in Calabi-Yau 3-folds and Topological Quantum Field Theory

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We continue our study of the local Gromov-Witten invariants of curves in Calabi-Yau 3-folds. We define relative invariants for the local theory which give rise to a 1+1-dimensional TQFT taking values in the ring Q[[t]]. The associated Frobenius algebra over Q[[t]] is semisimple. Consequently, we obtain a structure result for the local invariants. As an easy consequence of our structure formula, we recover the closed formulas for the local invariants in case either the target genus or the degree equals 1.
Version to appear in Duke. Section 6 has been removed and incorporated into another paper

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Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/67849

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306316
 http://arxiv.org/abs/math/0306316

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arXiv