Quantum Periods For Certain Four-Dimensional Fano Manifolds

Coates, T; Galkin, S; Kasprzyk, A; Strangeway, A

File(s)

1406.4891v3.pdf (455.62 KB)

Working paper

Author(s)

Coates, T

Galkin, S

Kasprzyk, A

Strangeway, A

Type

Working Paper

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.

URI

http://hdl.handle.net/10044/1/31629

Copyright Statement

Identifier

http://arxiv.org/abs/1406.4891v3

Subjects

math.AG

14J45, 14N35 (Primary), 14J33 (Secondary)

Notes

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