|The Unknotting Problem|
|Instructor：||Zhongtao Wu [California Institute of Technology]|
|Place：||Conference Room 3, Floor 2, Jin Chun Yuan West Building|
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.
The course assumes a working knowledge of fundamental group and homology theory.
Rolfsen, "Knots and Links"
Lickorish, “An Introduction to Knot Theory”