Donaldson-Thomas theory and cluster algebras
Algebraic Geometry
2019-12-19 v2 Representation Theory
Abstract
We provide a transformation formula of non-commutative Donaldson-Thomas invariants under a composition of mutations. Consequently, we get a description of a composition of cluster transformations in terms of quiver Grassmannians. As an application, we give an alternative proof of Fomin-Zelevinsky's conjectures on -polynomials and -vectors.
Cite
@article{arxiv.1002.4884,
title = {Donaldson-Thomas theory and cluster algebras},
author = {Kentaro Nagao},
journal= {arXiv preprint arXiv:1002.4884},
year = {2019}
}
Comments
39 pages, 8 figures, mostly rewritten