3 papers
math-ph2024
Mapping partition functions
Di Yang, Don Zagier
We introduce an infinite group action on partition functions of WK type, meaning of the type of the partition function in the famous result of Witten and Kontsevich ex…
math.GT2024
Knots, Perturbative Series and Quantum Modularity
Stavros Garoufalidis, Don Zagier
We introduce an invariant of a hyperbolic knot which is a map from to matrices with entries in …
math-ph2024
A hyperbolic Kac-Moody Calogero model
Olaf Lechtenfeld, Don Zagier
A new kind of quantum Calogero model is proposed, based on a hyperbolic Kac-Moody algebra. We formulate nonrelativistic quantum mechanics on the Minkowskian root space of the simpl…