Knots and Graphs

Working Group [Summer 2018] MATH 4193, class number 17324 June 5 --- July 27, 2018 Instructor: Sergei Chmutov Office MA-234. Phone 292-3568 Monday 12:30-1:30, Friday 12:00-1:00, MW-154

Past year programs        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 8	S.Chmutov,  Introduction. Knots and Jones polynomial.    Handout.
Week 2
Mo. June 11	S.Chmutov,  The Jones polynomial and the chromatic polynomial.
Fr. June 15	S.Chmutov,  The Tutte polynomial.     Handout.    Wikipedia.
Week 3
Mo. June 18	S.Chmutov,  The Tutte polynomial. (continuation.)
Fr. June 22	S.Chmutov,  Symmetric functions.     Handout.
Week 4
Mo. June 25	A.Vengal, W.Hoffer, V.Winstein,   Tricolorings, Keis, and Quandles.
Fr. June 29	J.Enouen, E.Fawcett, R.Raghavan, I.Shah,  Symmetric signed chromatic polynomial.
Week 5
Mo. July 2	J.DePascale, M.Fava, J.Park,  Gauss diagrams, virtual knots, and their polynomals.
Fr. July 6	J.Huryn,   Symmetric chromatic polynomial for trees.
Week 6
Mo. July 9	A.Vengal, W.Hoffer, V.Winstein  Two cocycles of quandles and the state sum invariants.
Fr. July 13	J.Enouen, E.Fawcett, I.Shah,  Contraction-deletion for the symmetric chromatic polynomial of signed graphs.
Week 7
Mo. July 16	N.Wang  Invariance of the Tutte polynomial. J.Huryn,  Symmetric chromatic polynomial of modified spiders.
Fr. July 20	J.Beck, J.DePascale, M.Fava, J.Park,  Estimate for the number of Reidemeister moves.
Week 8
Mo. July 23	A.Vengal, W.Hoffer, V.Winstein,   Cohomology, biquandles, and bracket invariants.
Fr. July 27	J.Enouen, E.Fawcett, R.Raghavan, I.Shah,   Symmetric chromatic polynomial for trees and hypergraphs.