Virtual pull-backs

2008/05/14 by Cristina Manolache, Manolache, Cristina · 5 citations
Mathematics · #14C15 #14N35 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #FOS: Physical sciences #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.0805.2065

openalex publication_date 2008/05/14 · openalex created_date 2024/04/10 · openalex updated_date 2026/07/28

Abstract

We propose a generalization of Gysin maps for DM-type morphisms of stacks F→ G that admit a perfect relative obstruction theory E_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.

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