Classification problems and mirror duality

By V. Golyshev. 2005

67 citations recorded by the source corpus.

We propose a general approach to classification problems in algebraic geometry via mirror duality. For Fano threefolds, a modularity conjecture describes small quantum cohomology and predicts the values of certain Gromov-Witten invariants.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/1179cd331325567a83f9d35f1740a65f100f8a7f

How researchers see this paper

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In Computational Theory and Mathematics

1. Wadim Zudilin

In Geometry and Topology

1. Duco van Straten
2. Wadim Zudilin

In Mathematical Physics

1. Wadim Zudilin
2. Ji-Cai Liu
3. Victor J. W. Guo
4. Armin Straub

Citations in the corpus

• Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations (2011, background): “We refer to [19], [18] and [11] for details about this construction.”