Knot theory and Combinatorics
VIGRE Working Group [Summer 2005]

Schedule

Week 1

 
Mon. June 20S. Chmutov,  Introduction. The Kauffman bracket.
Wed. June 22S. Chmutov,  The Tutte and Bollobás-Riordan polynomials. Relation to links and the Kauffman bracket.

Week 2

 
Mon. June 27S. Chmutov,  Matroids. Virtual links.
Wed. June 29S. Chmutov,  Khovanov type homology theory. Chromatic homology.

Week 3

 
Wed. July 6S. Chmutov,  Vassiliev type invariants.

Week 4

 
Mon. July 11Michael Chmutov,  Vanishing theorems for chromatic homology.

Week 5

 
Wed. July 20Thomas LaPille,  HOMFLY and Tutte polynomials.

Week 6

 
Mon. July 25Shaun Van Ault,  Extreme coefficients for the Jones polynomial.

Week 7

 
Mon. August 1Daniel File,  Khovanov homology.
Wed. August 3Philip Kilanowski,  Virtual knots. Khovanov homology for virtual knots.

Week 8

 
Mon. August 8Elena Udovina,  Reduced chromatic homology of graphs.
Wed. August 10Gabor Revesz,  Span of the Jones polynomial of a virtual link.

Week 9

 
Mon. August 15Michael Khoury,  Polyak-Viro formulas for Vassiliev invariants.
Wed. August 17Avi Silterra, James Sharpnack, William Mance,  Parallel connection and matroids.

Week 10

 
Mon. August 22Timothy All,  Kauffman bracket on non-orientable surfaces.