声明
Chapter 1. Introduction
Chapter 2. Background and Definitions
2.1. HISTORICAL BACKGROUND
2.2. SIMPLICIAL COMPLEX
2.3. THREE MANIFOLDS
Chapter 3. Heegaard Splittings
3.1. PRIME DECOMPOSITION
3.2. HEEGAARD SPLITTINGS FROM TRIANGULATION
3.3. SPLITTING 3-MANIFOLDS WITH BOUNDARY
3.4. HEEGAARD DIAGRAMS AND HANDLE DECOMPOSITIONS
3.5. REDUCIBILITY
3.6. AMALGAMATION OF HEEGAARD SPLITTINGS
Chapter 4. Critical Heegaard Surface
4.1. INDEX n MINIMAL SURFACES
4.2. CRITICAL SURFACE
4.3. CRITICAL HEEGAARD SURFACE OF AMALGAMATED 3-MANIFOLDS
Conclusion
参考文献
致谢
硕士学位论文答辩情况表
大连理工大学;
