231 citations · 723 across the 40 of their papers we have counts for
41 papers
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…
Hyperbolic 3-manifolds, the Bloch group, and the work of Walter Neumann
Stavros Garoufalidis, Don Zagier
This is an article about the work of Walter Neumann on hyperbolic geometry, ideal triangulations of 3-manifolds, the volume and Chern-Simons invariants of 3-manifolds and their ele…
Knots and Their Related -Series
Stavros Garoufalidis, Don Zagier
We discuss a matrix of periodic holomorphic functions in the upper and lower half-plane which can be obtained from a factorization of an Andersen-Kashaev state integral of a knot c…
Modular Linear Differential Operators and Generalized Rankin-Cohen Brackets
Kiyokazu Nagatomo, Yuichi Sakai, Don Zagier
The aim in this paper is to give expressions for modular linear differential operators of any order. In particular, we show that they can all be described in terms of Rankin-Cohen…
D-brane masses at special fibres of hypergeometric families of Calabi-Yau threefolds, modular forms, and periods
Kilian Bönisch, Albrecht Klemm, Emanuel Scheidegger +1
We consider the fourteen families of Calabi-Yau threefolds with one complex structure parameter and Picard-Fuchs equation of hypergeometric type, like the mirror of the quintic…
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…