Knots and Graphs

https://people.math.osu.edu/chmutov.1/wor-gr-su24/wor-gr.htm

Working Group [Summer 2024]
MATH 4193, class number 16239
June 3 --- July 26, 2023

Instructor: Sergei Chmutov

CLASSES: Mondays, Friday of the first two weeks June 3, 7, 10, and 14 at 3:00-4:00pm
Starting from June 17 online classes on ZOOM: Monday, Friday 3:00-4:00pm
+ one hour zoom meeting with each smaller group.             

 Past year programs

       2023   2022   2021
       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
    		•

    Schedule

    Week 1

    		 
    Mo. June 3S.Chmutov,  Introduction. Knots.    Handout.
    Fr. June 7S.Chmutov,  The Jones and arrow polynomials.    Handout.   

    Week 2

    		 
    Mo. June 10S.Chmutov,  Graphs and their polynomials.    Handout.
    Fr. June 14S.Chmutov,  Ribbon graphs and Thistlethwaite's theorem.    Handout.   

    Week 3

    		 
    Mo. June 17S.Chmutov,  Partial duality of ribbon graphs.    Handout.
    Fr. June 21G.Black,  Polynomials on Graphs with Applications.    Slides.   

    Week 4

    		 
    Mo. June 24W.Wu,  Partial-Dual Genus Polynomial.    Slides.
    Fr. June 30S.Wu,  Chromatic Polynomials of 2-Edge-Colored Graphs.    Slides.