On orbifold Gromov-Witten classes

DOI10.4171/PM/2090MaRDI QIDQ2694635

Hsian-Hua Tseng

Publication date: 4 April 2023

Published in: Portugaliae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.15313

zbMATH Keywords

Gromov-Witten theorytautological classes

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

Cites Work

• Gromov-Witten theory of product stacks
• Quantum Riemann-Roch, Lefschetz and Serre
• Orbifold quantum Riemann-Roch, Lefschetz and Serre
• Localization of virtual classes
• Gromov-Witten theory of target curves and the tautological ring
• Relative maps and tautological classes
• Gromov-Witten classes, quantum cohomology, and enumerative geometry
• Hodge integrals and Gromov-Witten theory
• The \(\mathcal{H}\)-tautological ring
• Double ramification cycles on the moduli spaces of curves
• Compactifying the space of stable maps
• Localization in Gromov-Witten Theory and Orbifold Gromov-Witten Theory
• Orbifold thechniques in degeneration formulas
• (Log) twisted curves
• Gromov-Witten theory of Deligne-Mumford stacks
• Twisted Bundles and Admissible Covers
• COHOMOLOGICAL FIELD THEORY CALCULATIONS
• Double ramification cycles with target varieties
• Chow rings of stacks of prestable curves I

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