Knots and Graphs

Instructor: Sergei Chmutov
Office MW-558. Phone 292-5893

Tuesday and Thursday, 3:30-4:30, MW-154

Announcement

List of participants

Research projects

Schedule

Week 1
Tu. June 23	S. Chmutov,  Introduction. The Tutte polynomial. Handout.
Th. June 25	S. Chmutov,  The Tutte polynomial (continuation).    Wikipedia.
Week 2
Tu. June 30	S. Chmutov,  The Tutte polynomial (continuation).
Th. July 2	S. Chmutov,  Knots and links.
Week 3
Tu. July 7	S. Chmutov,  The Jones polynomial.
Th. July 9	S. Chmutov,  Vassiliev knot invariants.
Week 4
Tu. July 14	S. Chmutov,  Vassiliev knot invariants (continuation).
Th. July 16	S. Chmutov,  Virtual links.
Week 5
Tu. July 21	S. Chmutov,  Rational knots.
Th. July 16	S. Chmutov,  Conway polynomial and the matrix-tree theorem.
Week 6
Tu. July 28	Y.Dong, M.Carnovale, J.Jeffries,  Relative Tutte polynomial.
Th. July 30	P.Apisa, C.Butler, B.Sorg,  Coefficients of the Jones polynomial.
Week 7
Tu. August 4	K.Bagchi, R.Bradford, M.Dworkin, M.Nguyen,  Multivariate Tutte and HOMFLYPT polynomial.
Th. August 6	Z.Cheng, T.Dokos, J.Lindquist,  Conway polynomial of virtual links.
Week 8
Tu. August 11	Y.Dong, M.Carnovale, J.Jeffries,  Arrow polynomial of virtual linbks.
Th. August 13	P.Apisa, C.Butler, B.Sorg,  First coefficients of the Jones polynomial of virtual knots.
Week 9
Tu. August 18	K.Bagchi, R.Bradford, M.Dworkin, M.Nguyen,  Multivariate Tutte and HOMFLYPT polynomial.
Th. August 20	Z.Cheng, T.Dokos, J.Lindquist,  Conway polynomial of virtual links.