Spin Geometry [Hydrogen
Atom]
第一章 Clifford Algebra
第二章 Lorentz Group
第三章 Spinors
第四章 Dirac Operator
第五章
- 薛丁格方程
- Spinors in 4-dimensional spaces Gerardo
F.Torres del Castillo(墨西哥)
1.Spinor Algebra 2.Conection
and Curveture 3.Applications to GR 4.Further Aplications
Killing Spinors [Exercise 1] [Exercise 2] [Exercise
3] [Exercise 4]
- The Dirac equation in Curved Spacetime Peter
Collas and David Klein
- The heat equation and index theory(熱核理論)
Atiyah-Singer-Index theorem
[Michael
Atiyah and Isadore Singer]
- 正標量曲率(positive scalar curvature) : 一個給定的流形上是否存在一個具有正標量曲率的黎曼度量?
Gromov-Lawson-Rosenberg conjecture [Open Problems]
- Kahler Manifolds and Complex Dirac Operators
- The Seiberg-Witten and Twistor Construtions(或Weitzenbock 公式應用)
- Applications to Gauge Theory and Topology