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Virtual pull-backs

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.

5 nodes4 linksoverview mapVirtual pull-backs
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Virtual pull-backs5 visible / 5 total nodes / 4 links
AuthorshipTopic signalTopic signalTopic signalWVirtual pull-backspreprint / 2011ACristina ManolacheResearcherTmath-ph7974 worksTmath.MP7972 worksTmath.AG5393 works
PaperSignal 104 links

Virtual pull-backs

preprint / 2011

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