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arXiv · 0805.2065

Virtual pull-backs

Cristina Manolache
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Abstract

We propose a generalization of Gysin maps for DM-type morphisms of stacks $F\to G$ 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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Cristina Manolache. 2011-08-09. Virtual pull-backs. https://arxiv.org/abs/0805.2065

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