Holomorphic orbispheres in elliptic curve quotients and Diophantine equations

DOI10.1215/21562261-3478871zbMath1343.53087OpenAlexW2353787856MaRDI QIDQ294141

Hansol Hong, Hyung-Seok Shin

Publication date: 9 June 2016

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1462901078

zbMATH Keywords

Diophantine equationscounting holomorphic orbifold sphereselliptic orbifold projective linesorbifold quantum cohomology

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Gromov-Witten invariants, quantum cohomology, Frobenius manifolds (53D45) Orbifold cohomology (55N32) Topology and geometry of orbifolds (57R18)

Cites Work

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• Global mirror symmetry for invertible simple elliptic singularities
• Gromov-Witten theory of orbicurves, the space of tri-polynomials and symplectic field theory of Seifert fibrations
• Duality for regular systems of weights
• A new cohomology theory of orbifold
• Gromov-Witten invariants for mirror orbifolds of simple elliptic singularities
• ON A GENERALIZATION OF THE NOTION OF MANIFOLD
• The spaces of Laurent polynomials, Gromov-Witten theory of ℙ1-orbifolds and integrable hierarchies
• Waldhausen's Classification Theorem for Finitely Uniformizable 3-Orbifolds

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