Knots and Graphs

Working Group [Summer 2022] MATH 4193, class number 16664 June 6 --- July 29, 2022 Instructor: Sergei Chmutov CLASSES: Mondays June 6 and June 13, 3:00-4:00pm at MA105 Fridays June 10 and June 17, 3:00-4:00pm at MW154 Starting from June 20 online classes on ZOOM: Monday, Friday 3:00-4:00pm + one hour zoom meeting with each smaller group.

Past year programs        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 6	S.Chmutov,  Introduction. Knots.    Handout.
Fr. June 10	S.Chmutov,  Knots and the Jones polynomial.    Handout.
Week 2
Mo. June 13	S.Chmutov,  Graphs and their polynomials.    Handout.
Fr. June 17	S.Chmutov,  Matroids.    Handout.
Week 3
Fr. June 24	S.Chmutov,  Delta-matroids.    Handout.
Week 4
Mo. June 27	K.Belgikar, C.Forsee, W.Wu,  Generating Sets of Twisted Forbidden Moves.    Calvin's notes.     Kabir's notes.     Wo's notes.
Fr. July 1	M.Kikta, Y.Xuan,  Diagrams Realizing Prescribed Sublink Diagrams.    Notes.
Week 5
Fr. July 8	L.Lozinskiy, D.Yuschak,  Twist Polynomials of Delta-Matroids.    Notes.
Week 6
Mo. July 11	C.Forsee,  Untying Twisted Knots.    Calvin's notes. K.Belgikar,  Arrow Polynomial.    Kabir's notes. W.Wu,  The groups of knots.    Wo's notes.
Fr. July 15	M.Kikta, Y.Xuan,  Forbidden R2 Move.    Notes.
Week 7
Mo. July 18	L.Lozinskiy, D.Yuschak,  Twist Polynomials of Delta Matroids 2.    Notes.
Fr. July 22	C.Forsee,  Alternative Minimum Generating Sets of Twisted Forbidden Moves.     Notes.
Week 8
Mo. July 25	M.Kikta, Y.Xuan,  Unknot Using Forbidden Moves and Bounds on Realizable Partition Size.     Notes.
Fr. July 29	L.Lozinskiy, D.Yuschak,  Twist Polynomials of Delta Matroids 3.    Notes.