Quantum Periods For Certain Four-Dimensional Fano Manifolds
Tom Coates, Sergey Galkin, Alexander Kasprzyk, Andrew Strangeway
TL;DR
This paper compiles known four-dimensional Fano manifolds and calculates their quantum periods, focusing on those with specific properties such as higher index, toric structure, or being complete intersections.
Contribution
It provides the first comprehensive list of quantum periods for various classes of four-dimensional Fano manifolds, expanding the understanding of their quantum invariants.
Findings
Quantum periods computed for all four-dimensional Fano manifolds with index > 1
Quantum periods for all four-dimensional toric Fano manifolds
Quantum periods for certain complete intersections in projective bundles
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.
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