Knots and Graphs

https://people.math.osu.edu/chmutov.1/wor-gr-su21/wor-gr.htm

Working Group [Summer 2021]
MATH 4193, class number 16336
June 8 --- July 30, 2021

Instructor: Sergei Chmutov

Online classes on ZOOM: Monday, Friday 3:00-4:00pm
+ one hour zoom meeting with each smaller group.             

Past year programs

       2020   2019   2018   2017   2016
       2015   2014   2013   2012   2011
       2010   2009   2007   2006   2005

  • Announcement
  • List of participants
  • Research projects
  • The Knots Atlas
  • Table of Virtual Knots by Jeremy Green
  • Our results
  • Dennis Sweeney's programs for calculation of Thompson’s links.


    Schedule

    Week 1

     
    Fr. June 11S.Chmutov,  Knots and the Jones polynomial.    Handout.   

    Week 2

     
    Mo. June 14S.Chmutov,  Graphs and their polynomials.    Handout.    
    Fr. June 18S.Chmutov,  Symmetric chromatic polynomial.    Handout.   

    Week 3

     
    Mo. June 21 S.Chmutov,  Ribbon graphs.    Handout.   
    Fr. June 25 O.Coppola, M.Reilly,  Graphs in $-1$ colors.     Slides.

    Week 4

     
    Mo. June 28T.Hilbert, A.Patterson,J.White,   Thompson's Groups.     Slides.
    Fr. July 2 S.Forest, A.Jambhale, J.Longo,  The Conway-Gordon Theorems.     Slides.

    Week 5

     
    Fr. July 9 J.Paugh, J.Wu, G.Zhang,  The arrow polynomial.     Slides.

    Week 6

     
    Mo. July 12O.Coppola, M.Reilly,  So now you've got Signed Graphs.    Slides.
    Fr. July 16 T.Hilbert,  Sage.     Sage Presentation Files.

    Week 7

     
    Mo. July 19S.Forest, A.Jambhale, J.Longo,  Generalization of First Conway-Gordon Theorem.    Slides.
    Fr. July 23T.Hilbert, A.Patterson,J.White,  The Conjugacy Problem in F.     Slides.

    Week 8

     
    Mo. July 26J.Paugh, J.Wu, G.Zhang,  Cut Points & Checkerboard Framings.     Slides.
    Fr. July 30O.Coppola, M.Reilly,   Symmetric Acyclicity Theorems.     Slides.