Naichung Conan Leung
The Institute of Mathematical Sciences and
Department of Mathematics
The Chinese University of Hong Kong
Shatin, N.T.
Hong Kong
Email: leung@ims.cuhk.edu.hk


Recent preprints:

Generalization of Lawson and Simons' result to quaternion and octonion geometry,  S.C. Lau and N.C. Leung

Moduli of Bundles over Rational Surfaces and Elliptic Curves I: Simply Laced cases, N.C. Leung and J.J. Zhang.

Moduli of Bundles over Rational Surfaces and Elliptic Curves II: Non-simply Laced cases, N.C. Leung and J.J. Zhang.

A quadratic inequality for sum of co-adjoint orbits, N.C. Leung and X.W. Wang.

Hard Lefschetz actions in Riemannian geometry with special holonomy, N.C. Leung and C.Z. Li.

Intersection theory of coassociative submanifolds in G_2 manifolds and Seiberg-Witten invariants, (revised version) N.C. Leung and X.W. Wang.

Mirror symmetry of Fourier-Mukai transformation for elliptic Calabi-Yau manifolds, N.C. Leung and S.-T. Yau, Proceedings of the Geometry Conference in Honour of Nigel Hitchin, Oxford University Press (2007).

Instantons and brances on manifolds with vector cross products, J.H. Lee and N.C. Leung, to appear in Asian Journal of Mathematics.


Miyaoka-Yau type inequalities for Kahler-Einstein manifolds, K.W. Chan and N.C. Leung, Comm. Analy. Geom., vol. 15, no. 2 (2007) 359-379.

Higher dimensional knot spaces for manifolds with vector cross product, J.H. Lee and N.C. Leung, Advances in Mathematics, 213 (2007) 140-164.

Hyper-Lagrangian submanifolds of Hyperkahler manifolds and Mean Curvature Flow, N.C. Leung and T. Wan, Journal of Geometric Analysis, vol. 17, no. 2 (2007) 343-364.

Counting elliptic curves in K3 surfaces, J.H. Lee and N.C. Leung, Journal of Algebraic Geometry 15 (2006), no. 4, 591-601.

Yau-Zaslow formula on K3 surfaces for non-primtive classes, J.H. Lee and N.C. Leung, Geometry and Topology 9 (2005), 1977-2012.

Mirror symmetry without corrections, N.C. Leung, Comm. Anal. Geom. 13 (2005), no.2, 287-331.

Papers in Preparation:


A uniform description of Riemannian symmetric spaces as Grassmannians using magic square, Y.D. Huang and N.C. Leung.

Hodge theory for G_2 manifolds: Intermediate Jacobians and Abel-Jacobi maps, S. Karigiannis and N.C. Leung.

Title TBA, N.C. Leung and Tom Wan.




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Last updated: September 3, 2007