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Lee, Yuan Pin

doi:10.1155/s1073792897000263

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We Need To Know How the Classes1

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2013

2024

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Cited by 8 publications

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“…The fibers of the map Z 2 → Z are (weighted) P 1 . However, the class L n+2 (consider it as the cotangent line L 1 ∈ K 0 (M 0,4 )) is a cotangent line at a point with trivial orbifold structure, so we can use Lee's formula in [15], which in this particular case reads…”

Section: We Need To Know How the Classesmentioning

confidence: 99%

Twisted orbifold Gromov–Witten invariants

Tonita¹

2014

Nagoya Mathematical Journal

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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 X g,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 in [20]. 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 the paper [13] on the quantum K-theory of a complex compact manifold X.

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Section: We Need To Know How the Classesmentioning

confidence: 99%