Knots and Graphs

http://www.math.ohio-state.edu/~chmutov/wor-gr-su12/wor-gr.htm

Working Group [Summer 2012]
MATH 4193, class number 14695, 1-2 credits
June 18 --- August 3, 2012

Instructor: Sergei Chmutov
Office MW-746. Phone 292-0819

Tuesday and Thursday, 2:30-3:30, MW-154             

Past year programs

       2011
       2010    2009    2007    2006    2005

  • Announcement
  • List of participants
  • Research projects
  • Table of Virtual Knots by Jeremy Green


    Schedule

    Week 1

     
    Tu. June 19S.Chmutov,  Introduction. Knots and their Jones polynomial.    Handout.   
    Th. June 21S.Chmutov,  The Tutte polynomial.    Handout.    Wikipedia.

    Week 2

     
    Tu. June 26S.Chmutov,  Matroids. Handout.    Wikipedia.
    Th. June 28S.Chmutov,  Polynomials for matroids and graphs on surfaces.    Handout.

    Week 3

     
    Tu. July 3B.O'Connor, E.Zwick, N.Taylor,  Arrow polynomial and extended bracket.
    Th. July 5J.H.Chun, R.Baidya, T.Friesen, P.Tian,  X-graphs and X-embeddings.

    Week 4

     
    Tu. July 10J.Michel, J.Arter, K.Huang, N.Kosar,   Higher dimensional flow and Krushkal-Renardi polynomials.
    Th. July 12A.Krieger, I.Smith, A.Weisman,  Quasi-trees.

    Week 5

     
    Th. July 17R.Baidya, T.Friesen, P.Tian,  Proof of the Vassiliev criteria for X-planarity.
    Tu. July 10J.Michel, J.Arter, K.Huang, N.Kosar,   Examples of higher dimensional flow polynomials.

    Week 6

     
    Th. July 24A.Krieger, I.Smith, A.Weisman,  Matrix quasi-tree theorem for one vertex ribbon graphs. Planarity of graphs
    Tu. July 26B.O'Connor, E.Zwick, N.Taylor,  Parity for virtual links.

    Week 7

     
    Tu. July 31Juan Ariel Ortiz-Navarro (University of Puerto Rico),  Workshop on the Khovanov homology.
    Th. August 2Juan Ariel Ortiz-Navarro (University of Puerto Rico),  Workshop on the Khovanov homology.