2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/223160If X is a nonsingular curve in a Calabi--Yau threefold Y whose normal bundle N_{X/Y} is a generic semistable bundle, are the local Gromov-Witten invariants of X well defined? For X of genus two or higher, the issues are subtle. We will formulate a precise line of inquiry and present some results, some positive and some negative.This is the version published by Geometry & Topology Monographs on 22 April 2006Algebraic Geometry14J32, 14N35text