English

Quantum Periods For Certain Four-Dimensional Fano Manifolds

Algebraic Geometry 2021-06-02 v3 Symplectic Geometry

Abstract

We collect a list of known four-dimensional Fano manifolds and compute their quantum periods. This list includes all four-dimensional Fano manifolds of index greater than one, all four-dimensional toric Fano manifolds, all four-dimensional products of lower-dimensional Fano manifolds, and certain complete intersections in projective bundles.

Keywords

Cite

@article{arxiv.1406.4891,
  title  = {Quantum Periods For Certain Four-Dimensional Fano Manifolds},
  author = {Tom Coates and Sergey Galkin and Alexander Kasprzyk and Andrew Strangeway},
  journal= {arXiv preprint arXiv:1406.4891},
  year   = {2021}
}

Comments

44 pages. Includes results of computer algebra calculations and full source code: see the Appendices and the ancillary files. v2: typos corrected, explained connections to the work of Batyrev--Ciocan-Fontanine--Kim--van Straten. v3: fixed strange problem with PDF generation