Surveys in Differential Geometry

Volume 24 (2019)

Differential geometry, Calabi-Yau theory, and general relativity (Part 2)

Lectures and articles celebrating the 70th birthday of Shing Tung Yau

Editors: Cao; Yau

Contents

Preface

Huai-Dong Cao

Stability and the deformed Hermitian–Yang–Mills equation

Tristan C. Collins and Yun Shi

pp. 1-38

Associative submanifolds and gradient cycles

Simon Donaldson and Christopher Scaduto

pp. 39-65

Sheaves on surfaces and virtual invariants

Lothar Göttsche and Martijn Kool

pp. 67-116

Symplectic singularities of differentiable mappings

Goo Ishikawa and Stanisław Janeczko

pp. 117-172

Counting curves in quintic Calabi–Yau threefolds and Landau–Ginzburg models

Jun Li and Chiu-Chu Melissa Liu

pp. 173-203

Conformally maximal metrics for Laplace eigenvalues on surfaces

Mikhail Karpukhin, Nikolai Nadirashvili, Alexei V. Penskoi, and Iosif Polterovich

pp. 205-256

Removeability of a codimension four singular set for solutions of a Yang–Mills–Higgs equation with small energy

Penny Smith and Karen Uhlenbeck

pp. 257-291

Probing quantization via branes

Davide Gaiotto and Edward Witten

pp. 293-402

Moduli of sheaves on $K3$’s and higher dimensional HK varieties

Kieran G. O’Grady

pp. 403-440

Positive scalar curvature and minimal hypersurface singularities

Richard Schoen and Shing-Tung Yau

pp. 441-480

Limits of quasi-local angular momentum on an isolated gravitating system

Mu-Tao Wang

pp. 481-495