Communications in Number Theory and Physics

Volume 13 (2019)

Number 1

Contents

Picard–Fuchs operators for octic arrangements, I: The case of orphans

Slawomir Cynk and Duco van Straten

pp. 1-52

$E_n$ Jacobi forms and Seiberg–Witten curves

Kazuhiro Sakai

pp. 53-80

Integrality of the LMOV invariants for framed unknot

Wei Luo and Shengmao Zhu

pp. 81-100

A Yang–Baxter equation for metaplectic ice

Ben Brubaker, Valentin Buciumas, Daniel Bump, and Nathan Gray

pp. 101-148

On the arithmetic of Landau–Ginzburg model of a certain class of threefolds

Genival Da Silva

pp. 149-163

A rank $2$ Dijkgraaf–Moore–Verlinde–Verlinde formula

Lothar Göttsche and Martijn Kool

pp. 165-201

Approximating tau-functions by theta-functions

B. Dubrovin

pp. 203-223

Fermions on replica geometries and the $\Theta$ - $\theta$ relation

Sunil Mukhi and Sameer Murthy

pp. 225-251