Mathematical Physics

[1] Transport information geometry I: Riemannian calculus on probability simplex

Wuchen Li UCLA

Differential Geometry Information Theory Mathematical Physics Machine Learning mathscidoc:2004.19001

arXiv:1803.06360, 2018.3
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[2] Hessian metric via transport information geometry

Wuchen Li UCLA

Differential Geometry Information Theory Mathematical Physics mathscidoc:2004.22001

arXiv:2003.10526, 2020.3
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[3] A geometric construction of representations of the Berezin-Toeplitz quantization

Kwokwai Chan The Chinese University of Hong Kong Naichung Conan Leung The Chinese University of Hong Kong Qin Li Southern University of Science and Technology

Mathematical Physics Quantum Algebra mathscidoc:2002.22001

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[4] D0-brane realizations of the resolution of a reduced singular curve

Chien-Hao Liu Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43717

arXiv preprint arXiv:1111.4707, 2011.11
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[5] Graph invariant from ideas in quantum field theory

An Huang Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43712

arXiv preprint arXiv:1409.5853, 2014.9
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[6] Energy-momentum surface density and quasilocal mass in general relativity

Mu-Tao Wang Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43705

arXiv preprint arXiv:0804.1174, 2008.4
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[7] Adiabatic isometric mapping algorithm for embedding 2-surfaces in Euclidean 3-space

Shannon Ray Warner A Miller Paul M Alsing Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43703

Classical and Quantum Gravity, 32, (23), 235012, 2015.11
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[8] Branes, bundles and attractors: Bogomolov and beyond, 2006

Michael R Douglas Rene Reinbacher Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43698

arXiv preprint math/0604597, 2006
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[9] Conserved quantities in general relativity: from the quasi-local level to spatial infinity.(2013)

Po-Ning Chen Mu-Tao Wang Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43697

arXiv preprint arXiv:1312.0985
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[10] Quasilocal energy-momentum at null infinity

PoNing Chen Mu-Tao Wang Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43696

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[11] SeibergWitten Differential via Primitive Forms

Si Li Dan Xie Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43687

Communications in Mathematical Physics, 367, (1), 193-214, 2019.4
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[12] Chiral algebra of Argyres-Douglas theory from M5 brane. preprint

Dan Xie Wenbin Yan Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43685

arXiv preprint arXiv:1604.02155
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[13] Smooth static solutions of the Einstein-Yang/Mills equations

Joel Smoller A Wasserman Shing-Tung Yau B McLeod

Mathematical Physics mathscidoc:1912.43679

Bulletin of the American Mathematical Society, 27, (2), 239-242, 1991
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[14] Degeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cut

Chien-Hao Liu Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43674

arXiv preprint math/0609483, 2006.9
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[15] Some recent progress in classical general relativity

Felix Finster Joel Smoller Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43667

Journal of Mathematical Physics, 41, (6), 3943-3963
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[16] Azumaya structure on D-branes and deformations and resolutions of a conifold revisited: Klebanov-Strassler-Witten vs. Polchinski-Grothendieck

Chien-Hao Liu Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43662

arXiv preprint arXiv:0907.0268, 2009.7
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[17] Nontrivial Azumaya noncommutative schemes, morphisms therefrom, and their extension by the sheaf of algebras of differential operators: D-branes in a B-field

Chien-Hao Liu Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43661

arXiv preprint arXiv:0909.2291, 2009.9
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[18] Finiteness of subfamilies of Calabi-Yau n-folds over curves with maximal length of Yukawa-coupling

Kefeng Liu Andrey Todorov Shing-Tung Yau Kang Zuo

Mathematical Physics mathscidoc:1912.43660

arXiv preprint arXiv:1010.4141, 2010.10
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[19] 4d N= 2 SCFT and singularity theory Part III: Rigid singularity

Bingyi Chen Dan Xie Stephen S-T Yau Shing-Tung Yau Huaiqing Zuo

Mathematical Physics mathscidoc:1912.43657

arXiv preprint arXiv:1712.00464, 2017.12
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[20] The theory of superstring with flux on non-Khler manifolds and the complex Monge-Ampere equation. 2006

Ji-Xiang Fu Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43656

arXiv preprint hepth/0604063, 2008
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[21] Surveys in differential geometry: differential geometry inspired by string theory

Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43655

1999
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[22] New definition of quasilocal mass and its positivity

Chiu-Chu Melissa Liu Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43653

2003.3
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[23] D-branes and Azumaya/matrix noncommutative differential geometry, II: Azumaya/matrix supermanifolds and differentiable maps therefrom--with a view toward dynamical fermionic D

Chien-Hao Liu Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43651

arXiv preprint arXiv:1412.0771
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[24] D-type fiber-base duality

Babak Haghighat Joonho Kim Wenbin Yan Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43650

Journal of High Energy Physics, 2018, (9), 60, 2018.9
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[25] Evaluating small sphere limit of the wangyau quasi-local energy

Po-Ning Chen Mu-Tao Wang Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43642

Communications in Mathematical Physics, 357, (2), 731-774, 2018.1
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