MATH 7590: Geometric Topology Presentations
MATH 7590 Geometric Topology
Fall 2005
Potential Presentation Topics
- Study the braid groups of (orientable) surfaces.
E.g., find presentations; discuss the Dirac string problem...
- Study the braid groups associated to reflections groups other than the symmetric group.
E.g., find presentations...
- Study the fundamental group of the complement of a curve in C2 or
CP2.
- The Hilbert series of the Orlik-Solomon algebra and the Poincare polynomial
- Falk's description of the first resonance variety
- Write computer programs to implement the Artin representation; the Randell algorithm... (taken)
- Zero-divisors in groups rings (taken)
- 2-planes in R4 (taken)
- The isomorphism between the Orlik-Solomon algebra and the Brieskorn algebra (taken)
- Allowable sequences, pseudoline arrangements, etc. (taken)
- Topological complexity (taken)
- Picture groups (taken)
- The pure symmetric automorphism group (taken)
Dan Cohen
Fall 2005
Back
to MATH 7590;
to my homepage.