Monday, 07 May 2018 10:56

Manturov's seminar on Knot theory

 

Title: Invariants for virtual marked graphs and virtual surface-links
 
Sang-Youl Lee, Pusan National University, Korea.

pm 15:35(UTC+3), 11 May 2018, Friday, classroom 922, Educational & Laboratory Building of BMSTU.

Abstract: In this talk, I would like to introduce a notion of virtual marked graphs and their equivalence and then define polynomial invariants for virtual marked graphs using invariants for virtual links. We also formulate a way how to define the ideal coset invariants for virtual surface-links using the polynomial invariants for virtual marked graphs. Examining this theory with the Kauffman bracket polynomial, we establish a natural extension of the Kauffman bracket polynomial to virtual marked graphs and found the ideal coset invariant for virtual surface-links using the extended Kauffman bracket polynomial.
We also discuss the groups of virtual marked graphs and virtual surface-links if the time is enough.
 
 
 If you would like to attend to our seminar, you can be invited you by skype. Please send an e-mail to This email address is being protected from spambots. You need JavaScript enabled to view it.  and add Seongjeong Kim  (kim.seongjeong) in your contact of Skype.
 
Title: Invariants for virtual marked graphs and virtual surface-links
 
Sang-Youl Lee, Pusan National University, Korea.

pm 15:35(UTC+3), 11 May 2018, Friday, classroom 922, Educational & Laboratory Building of BMSTU.

Abstract: In this talk, I would like to introduce a notion of virtual marked graphs and their equivalence and then define polynomial invariants for virtual marked graphs using invariants for virtual links. We also formulate a way how to define the ideal coset invariants for virtual surface-links using the polynomial invariants for virtual marked graphs. Examining this theory with the Kauffman bracket polynomial, we establish a natural extension of the Kauffman bracket polynomial to virtual marked graphs and found the ideal coset invariant for virtual surface-links using the extended Kauffman bracket polynomial.
We also discuss the groups of virtual marked graphs and virtual surface-links if the time is enough.
 
 
 If you would like to attend to our seminar, you can be invited you by skype. Please send an e-mail to This email address is being protected from spambots. You need JavaScript enabled to view it.  and add Seongjeong Kim  (kim.seongjeong) in your contact of Skype.