All Outputs (2)

Quantum periods for 3-dimensional Fano manifolds (2016)
Journal Article
Coates, T., Corti, A., Galkin, S., & Kasprzyk, A. M. (2016). Quantum periods for 3-dimensional Fano manifolds. Geometry and Topology, 20(1), https://doi.org/10.2140/gt.2016.20.103

The quantum period of a variety X is a generating function for certain Gromov-Witten invariants of X which plays an important role in mirror symmetry. In this paper we compute the quantum periods of all 3-dimensional Fano manifolds. In particular we... Read More about Quantum periods for 3-dimensional Fano manifolds.

Mirror symmetry and the classification of orbifold del Pezzo surfaces (2016)
Journal Article
Akhtar, M., Coates, T., Corti, A., Heuberger, L., Kasprzyk, A. M., Oneto, A., …Tveiten, K. (2016). Mirror symmetry and the classification of orbifold del Pezzo surfaces. Proceedings of the American Mathematical Society, 144(2), 513-527. https://doi.org/10.1090/proc/12876

We state a number of conjectures that together allow one to classify a broad class of del Pezzo surfaces with cyclic quotient singularities using mirror symmetry. We prove our conjectures in the simplest cases. The conjectures relate mutation-equival... Read More about Mirror symmetry and the classification of orbifold del Pezzo surfaces.