MATH543 LOW DIMENSIONAL TOPOLOGY
| Course Code: |
2360543 |
| METU Credit (Theoretical-Laboratory hours/week): |
3(3-0) |
| ECTS Credit: |
8.0 |
| Department: |
Mathematics |
| Language of Instruction: |
English |
| Level of Study: |
Graduate |
| Course Coordinator: |
Assoc.Prof.Dr. AHMET BEYAZ |
| Offered Semester: |
Fall or Spring Semesters. |
Course Content
4-manifolds, surfaces in 4-manifolds, complex surfaces, complex curves and their desingularizations. Elliptic surfaces; classification of complex surfaces and logarithmic transform. Handle decomposition, Heegard splitting and Kirby diagrams. Linking numbers and framings. Kirby calculus, handle moves and Dehn surgery. Spin structures, plumbings and related constructions. Embedded surfaces and branched covers.
