nLab Shing-Tung Yau

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Selected writings

Establishing what came to be called Calabi-Yau manifolds:

• Shing-Tung Yau, On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampére equation, Communications on Pure and Applied Mathematics,

  31 3 (1978) 339-411 [doi:10.1002/cpa.3160310304]

On the mirror map:

• S. Hosono, Albrecht Klemm, Stefan Theisen, Shing-Tung Yau, Mirror symmetry, mirror map and applications to Calabi-Yau hypersurfaces, Commun. Math. Phys. 167 (1995) 301-350 [doi:10.1007/BF02100589, arXiv:hep-th/9308122 ]

On moduli spaces of curves/moduli spaces of Riemann surfaces with emphasis on their orbifold-structure:

• Lizhen Ji, Shing-Tung Yau, Transformation Groups and Moduli Spaces of Curves, International Press of Boston 2011 (ISBN:9781571462237)

On p-adic string theory and the Riemann zeta function:

• An Huang, Bogdan Stoica, Shing-Tung Yau, General relativity from $p$-adic strings (arXiv:1901.02013)

On a rigorous proof of moduli stabilization of vacuum spacetimes, refuting Penrose 03 (for $\geq 10$-dimensions with a Killing spinor on the compact fiber and for Schwarzschild-asymptotics):

• Lars Andersson, Pieter Blue, Zoe Wyatt, Shing-Tung Yau, Global stability of spacetimes with supersymmetric compactifications (arXiv:2006.00824)

On mirror map

• Bong H. Lian, Shing-Tung Yau, Arithmetic properties of mirror map and quantum coupling, Commun. Math. Phys. 176 (1996) 163–191 doi
• B. Lian, S-T. Yau, Mirror symmetry, rational curves on algebraic manifolds and hypergeometric series, 163–183 in: XIth International Congress of Mathematical Physics (Paris 1994), Daniel Iagolnitzer (eds.), Intern. Press 1995
• Bong H. Lian, Shing-Tung Yau, Mirror maps, modular relations and hypergeometric series I, arXiv:hep-th/9507151
• Bong H. Lian, Shing-Tung Yau, Mirror maps, modular relations and hypergeometric series II, arXiv:hep-th/9507153 Nuclear Physics B - Proc. Suppl. 46:1–3 (1996) 248–262 doi

related $n$Lab entries

• Calabi-Yau manifold

• geometrization conjecture

• p-adic string theory, Riemann zeta function

• mirror symmetry…

category: people