Knots and Graphs

http://www.math.ohio-state.edu/~chmutov/wor-gr-su11/wor-gr.htm

Working Group [Summer 2011]
MATH 693, class number 11404, 3 credits
June 20 --- August 22, 2011

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

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

Past years programs

       2010
       2009
       2007
       2006
       2005

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


    Schedule

    Week 1

     
    Tu. June 21S. Chmutov,  Introduction. The Tutte polynomial. Handout.    Wikipedia.
    Th. June 23S. Chmutov,  Matroids. Handout.    Wikipedia.

    Week 2

     
    Tu. June 28S. Chmutov,  The Las Vergnas and Bollobás-Riordan polynomials. Handout.
    Th. June 30S. Chmutov,  Links. The Conway polynomial. Handout.

    Week 3

     
    Tu. July 5S. Chmutov,  The Jones polynomial. Handout.
    Th. July 7S. Chmutov,  Other polynomials. Vassiliev invariants. Handout.

    Week 4

     
    Tu. July 12J. Michel,  Las Vergnas and Krushkal polynomials.
    Th. July 14R.Ivancic, B.O'Connor,  Arrow polynomial and Gauss diagrams

    Week 5

     
    Tu. July 19C.Bajo, B.Burdick,  Matrix-tree Theorem.
    Th. July 21S.Collins, P.Schnell,  Matrix-tree Theorem.

    Week 6

     
    Tu. July 26J.H.Chun, A.Krieger,  Planarity of graphs
    Th. July 28J. Michel,  Examples of graphs with the same Las Vergnas but different Krushkal polynomials.

    Week 7

     
    Tu. August 2R.Ivancic, B.O'Connor,  Kauffnam's extended bracket polynomial for virtual links.
    Th. August 4C.Bajo, B.Burdick,  Krushkal-Renardy polynomial of cell complexes.

    Week 8

     
    Tu. August 9S.Collins, P.Schnell,  Pfaffians and perfect matchings.
    Th. August 11J.H.Chun, A.Krieger,  X-embeddings of X-graphs.

    Week 9

     
    Tu. August 16Guest Lecture. Theodore Dokos,  Patterns in Permutations and St-Wilf Equivalence.
    Th. August 18Guest Lecture. Neal Stoltzfus (LSU)