Knots and Graphs

http://www.math.ohio-state.edu/~chmutov/wor-gr-su15/wor-gr.htm

Working Group [Summer 2015]
MATH 4193, class number 17015
June 15 --- July 31, 2015

Instructor: Sergei Chmutov
Office MW-706. Phone 292-0836

Tuesday, Thursday, 11:30-12:30, MW-154             

 Past year programs

       2014    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

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

    Week 2

    		 
    Tu. June 23S.Chmutov,  Matroids. Handout.    Wikipedia.
    Th. June 25 S.Chmutov,  The Tutte polynomial.     Handout.    Wikipedia.

    Week 3

    		 
    Tu. June 30 C.Franks, B.Jia, J.Miller,  Four-vertex theorem.
    Th. July 2 C.Ahlborg, N.Hemleben, Z.Smith, D.Woodward,  Snarks.

    Week 4

    		 
    Tu. July 7 C.Dilsavor, A.While,  Δ-matroids and ribbon graphs.
    Th. July 9 A.Paul, S.Silwal,  Perfect matchings.

    Week 5

    		 
    Tu. July 14 B.Jia,  Discrete four-vertex theorem.
    Th. July 16 S.Rao,  Representable Δ-matroids.

    Week 6

    		 
    Tu. July 21 Z.Smith,  Proposition logic and resolution agorithm.
    Th. July 23 A.While,  Δ-matroids and knots.
    S.Rao,  Greedy algorithm and Coxeter matroids.

    Week 7

    		 
    Tu. July 28 B.Jia,  Combinatorial smooth manifolds.
    Th. July 30 C.Ahlborg, D.Woodward,  Planar algebraic snarks.