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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 ofvirtual pull-backs. As applications, we analyze Gromov-Witten invariants ofblow-ups and projective bundles.

Author: Cristina Manolache


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