Structures in genus-zero relative Gromov--Witten theory

Abstract

In this paper, we define genus-zero relative Gromov--Witten invariants with negative contact orders. Using this, we construct relative quantum cohomology rings and Givental formalism. A version of Virasoro constraints also follows from it.

arXiv comment44 pages. Final version. Published in J. Topol

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Cited by in corpus (7)

• The canonical wall structure and intrinsic mirror symmetry
• Double ramification cycles with target varieties
• Structures in genus-zero relative Gromov--Witten theory
• Holomorphic anomaly equation for $({\mathbb{P}}^2,E)$ and the Nekrasov-Shatashvili limit of local ${\mathbb{P}}^2$
• Higher genus relative and orbifold Gromov-Witten invariants
• Higher genus relative Gromov--Witten theory and DR-cycles
• The proper Landau--Ginzburg potential, intrinsic mirror symmetry and the relative mirror map