3.0

credits

Average Course Rating

The goal of this course is to give a broad introduction to knot theory and its relation to the topology of 3-manifolds. Topics to be covered include: knot diagrams and Reidemeister moves, knot group and its Wirtinger representation, Seifert surfaces and Seifert forms, cyclic covers of knot complements and their invariants, Alexander invariant and Alexander polynomial, mapping class group of a surface, Dehn surgery and Kirby calculus, and Heegaard spitting of 3-manifolds.