2006 Spring Topology Seminar

Virtual knot

• Virtual knot (Louis H.Kauffman)

• Quaternion algebras and invariants of virtual knots and links 1.The Elliptic case (Roger Fenn)

• Quaternion algebras and invariants of virtual knots and links 2.The Hyperbolic case (Stephen Budden, Roger Fenn)

Khovanov's invariants

• A categorification of the Jones polynomial (Mikhail Khovanov)

• Khovanov's homology for tangles and cobordisms (Dror Bar-Natan)