Pure and Applied Mathematics Quarterly

Volume 16 (2020)

Number 3

Special Issue in Honor of Prof. Kyoji Saito’s 75th Birthday

Guest Editors: Stanislaw Janeczko, Si Li, Jie Xiao, Stephen S.T. Yau, and Huaiqing Zuo

Contents

Preface

pp. 313-314

Invariants of the Weyl group of type $A^{(2)}_{2l}$

Kenji Iohara and Yoshihisa Saito

pp. 337-369

Categorification of Legendrian knots

Tatsuki Kuwagaki

pp. 421-437

Quantization of continuum Kac–Moody algebras

Andrea Appel and Francesco Sala

pp. 439-493

The isoperimetric problem in Riemannian optical geometry

Henri P. Roesch and Marcus C. Werner

pp. 495-514

Meromorphic connections in filtered $A_\infty$ categories

Hiroshi Ohta and Fumihiko Sanda

pp. 515-556

On the area formulas of inscribed polygons in classical geometry

Yohei Komori, Runa Umezawa, and Takuro Yasui

pp. 557-572

Shuffle algebras and perverse sheaves

Mikhail Kapranov and Vadim Schechtman

pp. 573-657

Open Gromov–Witten invariants and mirror maps for semi-Fano toric manifolds

Kwokwai Chan, Siu-Cheong Lau, Naichung Conan Leung, and Hsian-Hua Tseng

pp. 675-720

On the $\operatorname{BV}$ structure on the cohomology of moduli space

Sümeyra Sakallı and Alexander A. Voronov

pp. 755-773