Zobrazeno 1 - 10
of 227
pro vyhledávání: '"Zagier, Don"'
Autor:
Borinsky, Michael, Zagier, Don
We prove an asymptotic formula for the Euler characteristic of Kontsevich's commutative graph complex. This formula implies that the total amount of commutative graph homology grows super-exponentially with the rank and, via a theorem of Chan, Galati
Externí odkaz:
http://arxiv.org/abs/2405.04190
Autor:
Yang, Di, Zagier, Don
We introduce an infinite group action on partition functions of WK type, meaning of the type of the partition function $Z^{\rm WK}$ in the famous result of Witten and Kontsevich expressing the partition function of $\psi$-class integrals on the compa
Externí odkaz:
http://arxiv.org/abs/2308.03568
Autor:
Garoufalidis, Stavros, Zagier, Don
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 elements of the the Bloch group. The article focuses on the relations of
Externí odkaz:
http://arxiv.org/abs/2304.12545
Autor:
Garoufalidis, Stavros, Zagier, Don
Publikováno v:
SIGMA 19 (2023), 082, 39 pages
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 complement with remarkable analytic and asymptotic properties that defi
Externí odkaz:
http://arxiv.org/abs/2304.09377
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 brackets and a modified Rankin-Cohen bracket found by Kaneko and Koike
Externí odkaz:
http://arxiv.org/abs/2210.10686
We consider the fourteen families $W$ of Calabi-Yau threefolds with one complex structure parameter and Picard-Fuchs equation of hypergeometric type, like the mirror of the quintic in $\mathbb{P}^4$. Mirror symmetry identifies the masses of even--dim
Externí odkaz:
http://arxiv.org/abs/2203.09426
Autor:
Lechtenfeld, Olaf, Zagier, Don
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 simplest rank-3 hyperbolic Lie algebra $AE_3$ with an inverse-square potent
Externí odkaz:
http://arxiv.org/abs/2203.06519
Autor:
Garoufalidis, Stavros, Zagier, Don
Publikováno v:
SIGMA 20 (2024), 055, 87 pages
We introduce an invariant of a hyperbolic knot which is a map $\alpha\mapsto \boldsymbol{\Phi}_\alpha(h)$ from $\mathbb{Q}/\mathbb{Z}$ to matrices with entries in $\overline{\mathbb{Q}}[[h]]$ and with rows and columns indexed by the boundary paraboli
Externí odkaz:
http://arxiv.org/abs/2111.06645
For each of the simple Lie algebras $\mathfrak{g}=A_l$, $D_l$ or $E_6$, we show that the all-genera one-point FJRW invariants of $\mathfrak{g}$-type, after multiplication by suitable products of Pochhammer symbols, are the coefficients of an algebrai
Externí odkaz:
http://arxiv.org/abs/2101.10924
Autor:
Garcia-Failde, Elba, Zagier, Don
We prove that a curious generating series identity implies Faber's intersection number conjecture (by showing that it implies a combinatorial identity already given in arXiv:1902.02742) and give a new proof of Faber's conjecture by directly proving t
Externí odkaz:
http://arxiv.org/abs/2101.02187