Open Access
Translator Disclaimer
March 2014 Twisted orbifold Gromov–Witten invariants
Valentin Tonita
Nagoya Math. J. 213: 141-187 (March 2014). DOI: 10.1215/00277630-2393950


Let X be a smooth proper Deligne–Mumford stack over C. One can define twisted orbifold Gromov–Witten invariants of X by considering multiplicative invertible characteristic classes of various bundles on the moduli spaces of stable maps Xg,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.


Download Citation

Valentin Tonita. "Twisted orbifold Gromov–Witten invariants." Nagoya Math. J. 213 141 - 187, March 2014.


Published: March 2014
First available in Project Euclid: 17 December 2013

zbMATH: 1303.14065
MathSciNet: MR3161407
Digital Object Identifier: 10.1215/00277630-2393950

Primary: 14N35

Rights: Copyright © 2014 Editorial Board, Nagoya Mathematical Journal


Vol.213 • March 2014
Back to Top