Knots and Graphs

http://www.math.ohio-state.edu/~chmutov/wor-gr-su19/wor-gr.htm

Working Group [Summer 2019]
MATH 4193, class number 15996
June 4 --- July 26, 2019

Instructor: Sergei Chmutov
Office MW-530. Phone 292-5912

Monday 12:30-1:30, Friday 12:00-1:00, MW-154             

 Past year programs

       2018   2017   2016
       2015   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

    		 
    Fr. June 7S.Chmutov,  Introduction. Knots and Jones polynomial.    Handout.   

    Week 2

    		 
    Mo. June 10S.Chmutov,  The Tutte polynomial.     Handout.    Wikipedia.
    Fr. June 14 S.Chmutov,  Immersed plane curves.    Handout.   

    Week 3

    		 
    Mo. June 17J.Enouen, A.Vengal, V.Winstein,  Biquandles and their brackets.   
    Fr. June 21 V.Akavets, E.Fawcett, J.Huryn, I.Shah,  Symmetric chromatic function.

    Week 4

    		 
    Mo. June 24A.Vengal, V.Winstein,   Khovanov cohomology.
    Fr. June 28 N.Donald, E.Fawcett, I.Shah,  Voltage graphs and the symmetric chromatic function.

    Week 5

    		 
    Mo. July 1K.Husar, D.Sweeney, J.White,  Untangle plane immersed curves after T.Nowik.
    Fr. July 5 J.Huryn,   Star basis for the symmetric chromatic function.

    Week 6

    		 
    Mo. July 8V.Akavets,  Symmetric chromatic function of caterpillars.
    Fr. July 12 A.Vengal, V.Winstein,  Biquandles and 2-cocycle invariants.

    Week 7

    		 
    Mo. July 15K.Husar, D.Sweeney, J.White,  Lower bound for untangling plane curves.
    Fr. July 19J.White,  Lower bound for untangling plane curves. Continuation.
    E.Fawcett,  Moving over edge for the symmetric chromatic function.

    Week 8

    		 
    Mo. July 22V.Winstein,   Computer program for the Khovanov cohomology.
    Fr. July 26N.Donald,   Symmetric chromatic function for voltage graphs.