English

Orbifold techniques in degeneration formulas

Algebraic Geometry 2014-08-06 v2 Symplectic Geometry

Abstract

We give an approach for relative and degenerate Gromov--Witten invariants, inspired by that of Jun Li but replacing predeformable maps by transversal maps to a twisted target. The main advantage is a significant simplification in the definition of the obstruction theory. We reprove in our language the degeneration formula, extending it to the orbifold case.

Keywords

Cite

@article{arxiv.1103.5132,
  title  = {Orbifold techniques in degeneration formulas},
  author = {Dan Abramovich and Barbara Fantechi},
  journal= {arXiv preprint arXiv:1103.5132},
  year   = {2014}
}

Comments

Some material which is now in arXiv:1406.2166 and in arXiv:1110.2976 was removed

R2 v1 2026-06-21T17:44:59.416Z