If X⊂Y is a nonsingular curve in a Calabi–Yau threefold
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.
Keywords
Calabi–Yau manifold, deformations,
Gromov–Witten theory