3,718 research outputs found
Upper Bounds for Mutations of Potentials
In this note we provide a new, algebraic proof of the excessive Laurent
phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A.,
Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue of the
upper bounds from [Berenstein A., Fomin S., Zelevinsky A., Duke Math. J. 126
(2005), 1-52]
On F-Algebroids and Dubrovin's Duality
In this note we introduce the concept of F-algebroid, and give its elementary
properties and some examples. We provide a description of the almost duality
for Frobenius manifolds, introduced by Dubrovin, in terms of a composition of
two anchor maps of a unique cotangent F-algebroid.Comment: 13 pages; v2 has small changes, it has improved exposition. Revised
version to appear in: "Archivum Mathematicum
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