Elliptic Gromov-Witten Invariants of Del-Pezzo Surfaces

zbMath1441.14179arXiv1901.00839MaRDI QIDQ5208905

Nilkantha Das, Chitrabhanu Chaudhuri

Publication date: 22 January 2020

Full work available at URL: https://arxiv.org/abs/1901.00839

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Fano varieties (14J45)

Cites Work

• Enumeration of curves with one singular point
• The quantum cohomology of blow-ups of \(\mathbb{P}^2\) and enumerative geometry
• Localization of virtual classes
• A geometric construction of Getzler's elliptic relation
• Gromov-Witten invariants in algebraic geometry
• The intrinsic normal cone
• Counting plane curves of any genus
• Relative Gromov-Witten invariants and the mirror formula
• Counting curves on rational surfaces
• Frobenius manifolds and Virasoro constraints
• Gravitational Quantum Cohomology
• ON GROMOV–WITTEN INVARIANTS OF DEL PEZZO SURFACES
• Intersection theory on \overline{ℳ}_{1,4} and elliptic Gromov-Witten invariants
• Virtual moduli cycles and Gromov-Witten invariants of algebraic varieties
• Enumerative tropical algebraic geometry in ℝ²
• The number of plane conics that are five-fold tangent to a given curve
• A mathematical theory of quantum cohomology
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