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arXiv · 1002.4884

Donaldson-Thomas theory and cluster algebras

Kentaro Nagao
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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 $F$-polynomials and $g$-vectors.

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Kentaro Nagao. 2010-02-26. Donaldson-Thomas theory and cluster algebras. https://doi.org/10.1215/00127094-2142753

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