Invariance of tautological equations. I: Conjectures and applications

DOI10.4171/JEMS/115zbMath1170.14021arXivmath/0604318WikidataQ122861153 ScholiaQ122861153MaRDI QIDQ2425585

Yuan-Pin Lee

Publication date: 6 May 2008

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0604318

zbMATH Keywords

Chow ringstautological ringstautological equations

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Families, moduli of curves (algebraic) (14H10) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35)

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Cites Work

• Relative virtual localization and vanishing of tautological classes of moduli spaces of curves
• A genus-3 topological recursion relation
• Bihamiltonian hierarchies in 2D topological field theory at one-loop approximation
• Hodge integrals and Gromov-Witten theory
• Genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology
• Intersection Theory of Moduli Space of Stable N-Pointed Curves of Genus Zero
• Intersection theory on \overline{ℳ}_{1,4} and elliptic Gromov-Witten invariants
• The Moduli Space of Curves and Gromov–Witten Theory
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