Jan E. Grabowski

collaborators

3 papers

math.DG2026

Homogeneity actions, N-manifolds, and the Frobenius theorem

Janusz Grabowski, Asier López-Gordón

This paper is devoted to $N$ -graded supermanifolds $M$ whose grading is induced by a homogeneity action, i.e., a smooth action $R ∋ t \mapsto h_{t}$ of th…

math.RT2024

Segre products of cluster algebras

Jan E. Grabowski, Lauren Hindmarch

We show that under mild assumptions the Segre product of two graded cluster algebras has a natural cluster algebra structure.

nlin.SI2024

Deformed cluster maps of type $A_{2 N}$

Jan E. Grabowski, Andrew N. W. Hone, Wookyung Kim

We extend recent work of the third author and Kouloukas by constructing deformations of integrable cluster maps corresponding to the Dynkin types $A_{2 N}$ , lifting these to higher-…

Homogeneity actions, N-manifolds, and the Frobenius theorem

Segre products of cluster algebras

Deformed cluster maps of type A2N​

Deformed cluster maps of type $A_{2 N}$