Papers and preprints:
| G_2-flops, triality for TQFT and
exact triangle for Floer homology |
In preparation. |
|
| Counting elliptic curves on K3 surfaces (with Junho Lee) |
Preprint |
|
| Yau-Zaslow formula for non-primitive classes in
K3 surfaces (with Junho Lee) |
math.SG/0404537 |
|
| Instantons and branes on manifolds with vector
cross products (with Jao-Hyouk Lee) |
math.DG/0402044
|
|
| Intersection theory of coassociative
submanifolds in G_2 manifolds and Seiberg-Witten invarinats (with Xiaowei Wang) |
math.DG/0401419
. |
|
| Almost toric symplectic four-manifolds (with Margaret Symington) |
math.SG/0312165
|
|
| Topological Quantum Field Theory for Calabi-Yau threefolds and G_2 manifolds |
Abstract
, ps , pdf |
Adv. Theor. Math. Phys.. (2002) Vol. 6, 575-589. |
| Riemannian geometry over different normed division algebra | Abstract
, ps , pdf |
Journal of Differential Geometry 61 (2002), no. 2, 289-333. |
| Geometric aspects of mirror symmetry, with SYZ for Rigid CY manifolds |
Abstract
, ps , pdf |
To appear in the proceedings of ICCM 2001. |
| Geometric structures on G2 and Spin(7)-manifolds (with Jae-Hyouk Lee) |
Abstract
, ps , pdf . |
Preprint |
| A general Plucker formula | Abstract
, ps , pdf |
Preprint |
| Lagrangian submanifolds in hyperkahler manifolds and Legendre transformation |
Abstract
, ps , pdf |
Journal of Differential Geometry (2002) 61, 107-145. |
| Mirror symmetry without corrections | Abstract
, ps , PDF |
To appear in Comm. Analysis and Geometry |
| ADE-bundles over rational surfaces, configuration of lines and rulings |
Abstract
, ps , PDF |
Preprint |
| The signature of a toric variety (with Victor Reiner). |
Abstract
, ps , DVI . |
Duke Math. Journal (2002) Vol. 111, no. 2, 253-286. |
| Harmonic maps and the topology of conformally compact Einstein manifolds (with Tom Wan) |
Abstract
, ps , pdf |
Math. Res. Lett., (2001), vol. 8, no. 5-6, 801-812. |
| G-Bundles on Abelian surfaces, Hyperkahler manifolds
and Stringy Hodge numbers (with Jim Bryan and Ron Donagi). |
Abstract
, ps , PDF |
Turkish J. Math. 25 (2001), no. 1, 195--236 |
| Multiple covers and the integrality conjecture for rational
curves in CY threefolds (with Jim Bryan and Sheldon Katz). |
Abstract
, ps , PDF |
J. Algebraic Geometry 10 (2001), no. 3, 549--568. |
| From Special-Lagrangian to Hermitian-Yang-Mills via Fourier-Mukai Transform (with S.-T. Yau, Eric Zaslow). |
Abstract
, ps , PDF |
Adv. Theor. Math. Phys.. (2000), Vol. 4, No. 6, 1319-1341. |
| The enumerative geometry of K3 surfaces and modular
forms (with Jim Bryan). |
Abstract
, ps , PDF |
Journal Amer. Math. Soc. (2000), 13, 371-410. |
| Non-Abelian Seiberg-Witten equations on Einstein manifolds. | Abstract
, ps , DVI |
Journal fur die reine und angewandte Mathematik. Vol. 519 (2000) 17-29. |
| Counting curves on irrational surfaces (with Jim Bryan). | Abstract
, ps, PDF |
Survey of Differential Geometry, Vol. V. (1999) 313-339. |
| Generating functions for the number of curves on Abelian surfaces (with Jim Bryan). | Abstract
, ps , PDF |
Duke Math. Journal Vol. 99, No.2 (1999) 311-328. |
| Degeneration of Kahler Einstein metrics on complete Kahler manifolds (with Peng Lu). | ps , DVI | Comm. Analysis and Geometry Vol.7, No.2 (1999), 431-449. |
| Branes and toric geometry (with Cumrun Vafa). | Abstract
ps , DVI |
Advance Theor. Math. Phys. No. 2 (1998) 91-118. |
| Bando Futaki invariants and Kahler Einstein metric. | Abstract
, ps , DVI |
Comm. Analysis and Geometry Vol. 6, No. 4 (1998) 799-808. |
| Symplectic structures on gauge theory. | Abstract
, ps , DVI |
Comm. Mathematical Physics 193 (1998) 47-67. |
| Einstein type metrics and stability on vector bundles. | Abstract
, ps , DVI |
Journal of Differential Geometry Vol. 45 no.3, (1997) 514-546. |
| Seiberg Witten invariants and uniformizations. | Abstract
, ps , DVI |
Mathematische Annalen 306 (1996) 31-46. |
| Thesis, Differential geometric and symplectic interpretations of stability in the sense of Gieseker |
Abstract
, ps , DVI |
M.I.T. thesis. |
| Analytic Torsion for Quaternionic manifolds and related
topics (with Sangkug Yi) |
Abstract
, ps , PDF |
dg-ga/9710022 |
My recent
papers.