English

Relative and orbifold Gromov-Witten invariants

Algebraic Geometry 2015-04-21 v2

Abstract

We prove that genus zero Gromov--Witten invariants of a smooth scheme relative to a smooth divisor coincide with genus zero orbifold Gromov--Witten invariants of an appropriate root stack construction along the divisor.

Keywords

Cite

@article{arxiv.1004.0981,
  title  = {Relative and orbifold Gromov-Witten invariants},
  author = {Dan Abramovich and Charles Cadman and Jonathan Wise},
  journal= {arXiv preprint arXiv:1004.0981},
  year   = {2015}
}

Comments

completely rewritten, with slightly stronger results; 36 pages; comments welcome!

R2 v1 2026-06-21T15:07:19.574Z