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

dc.creatorBryan, Jim
dc.creatorPandharipande, Rahul
dc.date2003-06-22
dc.date2004-05-11
dc.date.accessioned2026-07-07T04:59:06Z
dc.date.available2026-07-07T04:59:06Z
dc.descriptionWe 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.
dc.descriptionVersion to appear in Duke. Section 6 has been removed and incorporated into another paper
dc.identifierhttps://arxiv.org/abs/math/0306316
dc.identifierhttp://arxiv.org/abs/math/0306316
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67849
dc.subjectAlgebraic Geometry
dc.titleCurves in Calabi-Yau 3-folds and Topological Quantum Field Theory
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