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Volume Ⅱ 705

Commentary on 705

Perspectives on Geometric Analysis 705

Perspectives on Geometric Analysis&Shing-Tung Yau 707

Commentary on 813

A Survey of Calabi-Yau Manifolds 813

A Survey of Calabi-Yau Manifolds&Shing-Tung Yau 835

Commentary on 879

Linear Waves in the Kerr Geometry:A Mathematical Voyage to Black Hole Physics 879

Linear Waves in the Kerr Geometry:A Mathematical Voyage to Black Hole Physics&Felix Finster,Niky Kamran,Joel Smoller,and Shing-Tung Yau 881

Commentary on 911

Recent Development on the Geometry of the Teichmüller and Moduli Spaces of Riemann Surfaces 911

Recent Development on the Geometry of the Teichmüller and Moduli Spaces of Riemann Surfaces&Kefeng Liu,Xiaofeng Sun,and Shing-Tung Yau 913

Commentary on 951

Deformation of K？hler-Einstein Metrics 951

Deformation of K？hler-Einstein Metrics&Xiaofeng Sun,Shing-Tung Yau 953

Commentary on 977

String Theory and the Geometry of the Universe's Hidden Dimensions 977

String Theory and the Geometry of the Universe's Hidden Dimensions&Shing-Tung Yau and Steve Nadis 979

Commentary on 997

Shiing-Shen Chern 997

Shiing-Shen Chern(1911-2004)&Shin-Tung Yau 999

Commentary on 1041

A Survey on Recent Development in Computational Quasi-conformal Geometry and its Applications 1041

A Survey on Recent Development in Computational Quasi-conformal Geometry and its Applications&Lok Ming Lui,Tsz Wai Wong,Wei Zeng,Xiangfeng Gu,Paul M.Thompson,Tony F.Chan,and Shing-Tung Yau 1043

Commentary on 1067

Recent Development of Computational Conformal Geometry 1067

Recent Development of Computational Conformal Geometry&David Xianfeng Gu,Wei Zeng,Lok Ming Lui,Feng Luo,and Shing-Tung Yau 1069

Commentary on 1121

Mirror Symmetry and Localizations 1121

Mirror Symmetry and Localizations&Shing-Tung Yau 1137

Commentary on 1165

Non-K？hler Calabi-Yau Manifolds 1165

Non-K？hler Calabi-Yau Manifolds&Li-Sheng Tseng,Shing-Tung Yau 1167

Commentary by Others 1183

The Strominger-Yau-Zaslow Conjecture and Its Impact&Kwokwai Chan 1183

Commentary on 1209

Shing-Tung Yau's Surveys&Simon Donaldson 1209

Commentary on 1221

Yau's Work on Non-K？hler Complex Geometry&Jixiang Fu 1221

Martin Compactification of Nonpositively Curved Manifolds&Lizhen Ji 1229

Commentary on 1249

Shing-Tung Yau's Expository Works:Topological String Theory&Chiu-Chu Melissa Liu 1249

Commentary on 1259

Yau's Work on Minimal Surfaces and 3-manifolds&Feng Luo 1259

Commentary on 1269

Some Works of Shing-Tung Yau in K？hler Geometry&Ngaiming Mok 1269

Commentary on 1291

The Legacy of Shing-Tung Yau in Geometric Partial Differential Equations&Duong H.Phong 1291

Commentary on 1309

Several Problems Proposed by Shing-Tung Yau&Bun Wong 1309

Appendices 1317

List of Publications by Shing-Tung Yau 1317

Students of Shing-Tung Yau 1343