English

Virtual pull-backs

Algebraic Geometry 2011-08-10 v2 Mathematical Physics math.MP

Abstract

We propose a generalization of Gysin maps for DM-type morphisms of stacks FGF\to G that admit a perfect relative obstruction theory EF/GE_{F/G}^{\bullet}, which we call a "virtual pull-back". We prove functoriality properties of virtual pull-backs. As applications, we analyze Gromov-Witten invariants of blow-ups and projective bundles.

Keywords

Cite

@article{arxiv.0805.2065,
  title  = {Virtual pull-backs},
  author = {Cristina Manolache},
  journal= {arXiv preprint arXiv:0805.2065},
  year   = {2011}
}

Comments

Major revision, application added

R2 v1 2026-06-21T10:40:24.696Z