On the rigidity of stable maps to Calabi-Yau threefolds
Jim Bryan, Rahul Pandharipande
Abstract
If X is a nonsingular curve in a Calabi--Yau threefold Y whose normal bundle NX/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.
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