@article { , title = {Quantum Periods For Certain Four-Dimensional Fano Manifolds}, 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.}, doi = {10.1080/10586458.2018.1448018}, eissn = {1944-950X}, issn = {1058-6458}, issue = {2}, journal = {Experimental Mathematics}, note = {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}, pages = { 183-221}, publicationstatus = {Published}, publisher = {Taylor and Francis}, url = {https://nottingham-repository.worktribe.com/output/917004}, volume = {29}, year = {2018}, author = {Coates, Tom and Galkin, Sergey and Kasprzyk, Alexander and Strangeway, Andrew} }