Proof of the Kontsevich Non-Commutative Cluster Positivity Conjecture
Dylan Rupel
TL;DR
This paper proves the Kontsevich non-commutative cluster positivity conjecture by extending the Lee-Schiffler Dyck path model to handle unequal parameters, advancing understanding in non-commutative cluster algebras.
Contribution
It introduces an extension of the Lee-Schiffler Dyck path model to prove the conjecture for unequal parameters, providing a new approach in non-commutative cluster algebra theory.
Findings
Proof of the Kontsevich non-commutative cluster positivity conjecture
Extension of Dyck path model to unequal parameters
New insights into non-commutative cluster algebra positivity
Abstract
We extend the Lee-Schiffler Dyck path model to give a proof of the Kontsevich non-commutative cluster positivity conjecture with unequal parameters.
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