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math.CO2026
Neighboring seeds in affine type: Universal coefficients and finite mutation-type
Nathan Reading, Salvatore Stella
Neighboring seeds in a cluster algebra of affine type are seeds that are as close as possible to the boundary of the g-vector fan. This short note highlights the characterization o…
math.CO2026
Theta functions in acyclic affine type
Nathan Reading, Salvatore Stella
We characterize the theta functions for vectors in the imaginary wall in a cluster algebra of acyclic affine type and compute some of their structure constants. One of the structur…
math.CO2026
Mutation of theta functions
Nathan Reading, Salvatore Stella
We give an account of mutation of theta functions in cluster scattering diagrams, starting with a notion of mutation that is related to, but different from, the notion of mutation…