3 papers
math.QA2026
Goldman-Turaev formality from the Kontsevich integral
Dror Bar-Natan, Zsuzsanna Dancso, Tamara Hogan +2
We present a new solution to the formality problem for the framed Goldman--Turaev Lie bialgebra, constructing Goldman-Turaev homomorphic expansions (formality isomorphisms) from th…
math.GT2025
A diagrammatic computation of abelian link invariants
David Cimasoni, Livio Ferretti, Jessica Liu
We show how the multivariable signature and Alexander polynomial of a colored link can be computed from a single symmetric matrix naturally defined from a colored link diagram. In…
math.NT2024
Convergence of Time-Average along Uniformly Behaved in Sequences on Every Point
Yunping Jiang, Jessica Liu
We define a uniformly behaved in arithmetic sequence and an -mean Lyapunov stable dynamical system . We consider the time-average of a continuou…