Knots and Graphs

http://www.math.ohio-state.edu/~chmutov/wor-gr-su14/wor-gr.htm

Working Group [Summer 2014]
MATH 4193, class number 16791
June 16 --- August 1, 2014

Instructor: Sergei Chmutov
Office MW-710. Phone 292-8888

Monday, Wednesday, 11:00-12:00, MW-154             

 Past year programs

       2013    2012    2011
       2010    2009    2007    2006    2005

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

    Schedule

    Week 1

    		 
    Mo. June 16S.Chmutov,  Introduction. Knots and their Jones polynomial.    Handout.   
    We. June 18S.Chmutov,  The Kauffman bracket and Jones polynomial.   

    Week 2

    		 
    Mo. June 23S.Chmutov,  The Tutte polynomial.    Handout.    Wikipedia.
    We. June 25S.Chmutov,  Ribbon graphs and Bollobás-Riordan polynomials. Handout.

    Week 3

    		 
    Mo. June 30T.Friesen, B.Jia,  The Fary--Milnor theorem.
    We. July 2J.Chun, H.Tran, A.While,  Braess's paradox.

    Week 4

    		 
    Mo. July 7D.Clark, C.Lehman,  Clock-state model for Alexander polynomial.
    We. July 9I.Smith, Z.Smith, A.Ciavarella,  Symmetric and weighted chromatic polynomial for trees.

    Week 5

    		 
    Mo. July 14T.Friesen, B.Jia,  Quantum total curvature.
    We. July 16H.Tran, A.While,  Braess's paradox and the Nash equilibrium.

    Week 6

    		 
    Mo. July 21D.Clark, C.Lehman,  Fibonacci links.
    We. July 23I.Smith,  2-cuts of the weighted polynomial for trees.

    Week 7

    		 
    Mo. July 28B.Jia,  Fary's proof of the Fary-Milnor theorem.
    We. July 30D.Clark, C.Lehman,  Fibonacci links.