Knots and Graphs

http://www.math.ohio-state.edu/~chmutov/wor-gr-su10/wor-gr.htm

Working Group [Summer 2010]
MATH 693, class number 18761, 3 credits
June 21 --- August 23, 2010

Instructor: Sergei Chmutov
Office MW-514. Phone 292-5256

Tuesday and Thursday, 3:30-4:30, MW-154             

Past years programs

       2009
       2007
       2006
       2005

  • Announcement
  • List of participants
  • Research projects
  • Table of Virtual Knots by Jeremy Green
  • Virtual Link Calculator by Jack Cheng


    Schedule

    Week 1

     
    Tu. June 22S. Chmutov,  Introduction. The Tutte polynomial. Handout.    Wikipedia.
    Th. June 24S. Chmutov,  Matroids. Handout.    Wikipedia.

    Week 2

     
    Tu. June 29S. Chmutov,  The relative Tutte and Las Vergnas polynomials. Handout.
    Th. July 1S. Chmutov,  Ribbon graphs and the Bollobás-Riordan polynomial. Handout.

    Week 3

     
    Tu. July 6S. Chmutov,  Links. The Conway polynomial. Handout.
    Th. July 8S. Chmutov,  The Jones polynomial. Handout.

    Week 4

     
    Tu. July 13R. Bradford, C. Butler,  Arrow polynomial.
    Th. July 15Z. Cheng, T. Dokos, J. Lindquist,  Conway polynomial of virtual links.

    Week 5

     
    Tu. July 20R. Askanazi, J. Michel, C. Estill,  Las Vergnas and Bollobás-Riordan polynomials.
    Th. July 22B. Albrinck, D. Meyer,  Relative Tutte and Bollobás-Riordan polynomials.

    Week 6

     
    Tu. July 27R. Bradford, C. Butler,  Number of virtual crossings and the arrow polynomial.
    Th. July 29Z. Cheng, J. Lindquist,  Matrix-tree theorem and virtual Milnor numbers.

    Week 7

     
    Tu. August 3R. Askanazi, J. Michel, P. Stollenwerk,  Las Vergnas, Bollobás-Riordan, and Krushkal polynomials.
    Th. August 5T. NeCamp, M. McCann,  Relative Tutte and Bollobás-Riordan polynomials.

    Week 8

     
    Tu. August 10R. Bradford, C. Butler,  Arrow ribbon graphs.

    Week 9

     
    Tu. August 17R. Askanazi, J. Michel, P. Stollenwerk,  Las Vergnas and Krushkal polynomials.
    Th. August 19Z. Cheng, T. Dokos, J. Lindquist,  Virtual Milnor numbers.