A. Liu

发表

Cosmic String, Harvey-Moore Conjecture and Family Seiberg-Witten Theory

A. Liu, 2004, math/0409038.

2 A Simple Review of Fintushel-Stern ’ s Argument

A. Liu, 2022 .

The Residual Intersection Formula of Type II Exceptional Curves

A. Liu, 2004, math/0409037.

A Note About Universality Theorem as an Enumerative Riemann-Roch Theorem

A. Liu, 2004, math/0405113.

The Family Blowup Formula of the Family Seiberg-Witten Invariants

A. Liu, 2003, math/0305294.

Family Seiberg-Witten invariants and wall crossing formulas

Tian-Jun Li, A. Liu, 2001, math/0107211.

Family Blowup Formula, Admissible Graphs and the Enumeration of Singular Curves, I

A. Liu, 2000 .

Uniqueness of Symplectic Canonical Class, Surface Cone and Symplectic Cone of 4-Manifolds with B+ = 1

Tian-Jun Li, A. Liu, 2000, math/0012048.

Some New applications of General Wall Crossing Formula, Gompf’s Conjecture and its Applications

A. Liu, 1996 .

The Equivalence between SW and Gr in the Case Where b+ = 1

Tian-Jun Li, Tian-Jun Li, Ai Ko Liu, 1999 .

Counting curves on elliptic ruled surface

Tian-Jun Li, A. Liu, 2002 .

Family Switching Formula and the $-n$ Exceptional Rational Curves

A. Liu, 2003, math/0308197.

Kernel Fisher Discriminant Analysis Based on a Regularized Method for Multiclassification and Application in Lithological Identification

Dejiang Luo, Aijiang Liu, A. Liu, 2015 .