On the rigidity of stable maps to Calabi-Yau threefolds

Details On the rigidity of stable maps to Calabi-Yau threefolds On the rigidity of stable maps to Calabi-Yau threefolds

2004-05-11

arxiv.org/abs/math/0405204v2

Geom. Topol. Monogr. 8 (2006) 97-104

Mathematics

Algebraic Geometry

This is the version published by Geometry & Topology Monographs on 22 April 2006

Scientific paper

10.2140/gtm.2006.8.97

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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