MATH 7590: Geometric Topology Presentations

MATH 7590   Geometric Topology

Fall 2005

Potential Presentation Topics

  1. Study the braid groups of (orientable) surfaces.
    E.g., find presentations; discuss the Dirac string problem...

  2. Study the braid groups associated to reflections groups other than the symmetric group.
    E.g., find presentations...

  3. Study the fundamental group of the complement of a curve in C2 or CP2.

  4. The Hilbert series of the Orlik-Solomon algebra and the Poincare polynomial

  5. Falk's description of the first resonance variety

  6. Write computer programs to implement the Artin representation; the Randell algorithm... (taken)

  7. Zero-divisors in groups rings (taken)

  8. 2-planes in R4 (taken)

  9. The isomorphism between the Orlik-Solomon algebra and the Brieskorn algebra (taken)

  10. Allowable sequences, pseudoline arrangements, etc. (taken)

  11. Topological complexity (taken)

  12. Picture groups (taken)

  13. The pure symmetric automorphism group (taken)


Dan Cohen   Fall 2005
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