English

On the rigidity of stable maps to Calabi-Yau threefolds

Algebraic Geometry 2009-03-13 v2

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.

Keywords

Cite

@article{arxiv.math/0405204,
  title  = {On the rigidity of stable maps to Calabi-Yau threefolds},
  author = {Jim Bryan and Rahul Pandharipande},
  journal= {arXiv preprint arXiv:math/0405204},
  year   = {2009}
}

Comments

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