# 播放清單 (請按影片的左上角選取)
source: NTU CAStudio Last updated on 2014年6月12日
Lecture 1. Degeneracy and topology of a two-level system - two dimensional case 1:42:24
Lecture 2. Degeneracy and topology of a two-level system - three dimensional case 1:57:19
Lecture 3. Topology of a U(1) fiber bundle 1:54:06
Lecture 4. Topology and connection of a U(1) bundle 2:05:04
Lecture 5. Connection Form & Exterior Calculus 1:57:13
Lecture 6. Differential Geometry of Surface -- Moving Frames 1:43:32
Lecture 7. Gauss Bonnet and Poincare Hopf Theorems 1:44:51
Lecture 8. Tensor Analysis 1:48:02
Lecture 9. Riemann Curvature Tensor 1:44:57
Lecture 10. Tensor Analysis Continued 1:43:07
Lecture 11. Vibronic Gauge Model 1:44:32
Lecture 12. Vibronic Gauge Model Continued 1:45:00
Lecture.16 Review Index Theorem in Graphene 1:06:23
Lecture 15. Index Theorem(s) 1:01:41
Lecture 14. Polyacetylene and Graphene 1:25:30
Lecture 13. Homology and Cohomology Groups : de Rham's Theorem 1:40:47
