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On the rigidity of stable maps to Calabi-Yau threefolds

Jim Bryan·Rahul Pandharipande
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Abstract

If 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.

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Jim Bryan, Rahul Pandharipande. 2009-03-13. On the rigidity of stable maps to Calabi-Yau threefolds. https://doi.org/10.2140/gtm.2006.8.97

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