Program
The Unknotting Problem
Student No.:50
Time:Mon/Wed 13:00-14:50,07-03~07-29
Instructor:Zhongtao Wu  [California Institute of Technology]
Place:Conference Room 3, Floor 2, Jin Chun Yuan West Building
Starting Date:2013-7-3
Ending Date:2013-7-29

 

Description:

After a brief account of both classical and modern approaches to the problem of deciding whether a given knot is equivalent to the unknot, we shall discuss various knot invariants, including the Alexander polynomial, the Jones polynomial and their “categorifications” – knot Floer homology and Khovanov homology. The course will culminate in Kronheimer and Mrowka’s recent result showing that Khovanov homology is an unknot-detector.

 

Prerequisite:

The course assumes a working knowledge of fundamental group and homology theory.  

 

Reference:

 

 

 

 

Rolfsen, "Knots and Links"

Lickorish, “An Introduction to Knot Theory”