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Twisted orbifold Gromov–Witten invariants

Published online by Cambridge University Press:  11 January 2016

Valentin Tonita
Valentin Tonita*
Affiliation:
Kavli IPMU University of Tokyo, Kashiwa City, Chiba 277-8583, Japan, valentin.tonita@ipmu.jp
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Abstract

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Let χ be a smooth proper Deligne–Mumford stack over ℂ. One can define twisted orbifold Gromov–Witten invariants of χ by considering multiplicative invertible characteristic classes of various bundles on the moduli spaces of stable maps χg,n,d, cupping them with evaluation and cotangent line classes, and then integrating against the virtual fundamental class. These are more general than the twisted invariants introduced by Tseng. We express the generating series of the twisted invariants in terms of the generating series of the untwisted ones. We derive the corollaries which are used in a paper with Givental about the quantum K-theory of a complex compact manifold X.

Keywords

14N35
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 213 , March 2014 , pp. 141 - 187
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2014

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