| Working Group [Summer 2023] MATH 4193, class number 16649 June 5 --- July 28, 2023 Instructor: Sergei Chmutov
CLASSES: Mondays June 5, 9, 12, 16, 3:00-4:00pm at CH-240
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Past year programs
2022
2021
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Week 1 | |
| Mo. June 5 | S.Chmutov, Introduction. Knots. Handout. |
| Fr. June 9 | S.Chmutov, The Jones, HOMFLYPT, and arrow polynomials. Handout. |
Week 2 | |
| Mo. June 12 | S.Chmutov, Graphs and their polynomials. Handout. |
| Fr. June 16 | S.Chmutov, Ribbon graphs and Thistlethwaite's theorem. Handout. |
Week 3 | |
| Fr. June 23 | G.Black, Y.Xuan, Goeritz Matrix and Knot Coloring. Slides. |
Week 4 | |
| Mo. June 26 | L.Lozinskiy, P.Jois, Virtual knots. The arrow and Sawollek polynomials. Slides. |
| Fr. June 30 | C.Li, Two Generalizations of Fox n-Colorability via Polynomials and Quandles. Slides. |
Week 5 | |
| Mo. July 3 | Y.Shen Alternating knots and Tait Conjecture. Slides. J.Case Arrow polynomial and checkerboard colorability. Slides. |
| Fr. July 7 | M.Kikta, Goeritz Matrices, Tait Graphs, Matroids, and Polynomials. Slides. |
Week 6 | |
| Mo. July 10 | P.Jois,
Revisiting the Conway Polynomial for Virtual Links.
Slides. L.Lozinskiy, Arrow Polynomial and Checkerboard Colorability. Slides. |
| Fr. July 14 | G.Black,
Ribbon Graphs and the Bollobás-Riordan polynomial.
Slides. Y.Xuan, Double Covering of Virtual Link and Pseudo Goeritz Matrix. Slides. |
Week 7 | |
| Mo. July 17 | Y.Shen, Some algebraic structures of links: from 0 to ε. Slides. |
| Fr. July 21 | C.Li, Heap Colorings. Slides. |
Week 8 | |
| Mo. July 24 | L.Lozinskiy,
Unknot Checkerboard Colorings: 2 new approaches.
Slides. J.Case, Arrow Polynomial and mod P Alexander Numbering. Slides. |
| Fr. July 28 | M.Kikta, Arrow Polynomial from a Gauss Code. Slides. |