Reading course on Khovanov homology
This is an informal reading course on Khovanov homology and low-dimensional topology.
The main topic for Winter 2021 will be topology of singularities .
Organizers: Roger Casals ,
Eugene Gorsky ,
Laura Starkston .
The seminar meets on Thursdays at
Older notes: Winter-Spring 2020 , Fall 2020 .
1/7: Introductory meeting, A1 singularity notes
Problem set 1
1/14: Milnor fibration, vanishing cycles notes
1/21: Resolution of singularities Solutions to problems , notes
1/28: More on blow-ups notes, Solution to problem 4
Problem set 2
2/4: Plane curve singularities: Puiseaux expansion notes
2/11: Plane curve singularities: semigroup notes
2/18: Resolution of singularities: multiplicities notes
2/25: Resolution of singularities: intersection form notes
3/4: Monodromy, Seifert form
3/11: Zeta function and Alexander polynomial
J. Milnor. Singular Points of Complex Hypersurfaces.
V. Arnold, S. Gusein-Zade, A. Varchenko.Singularities of Differentiable Maps (Volume 2).
D. Eisenbud, W. Neumann. Three-Dimensional Link Theory and Invariants of Plane Curve Singularities.
C. T. C. Wall. Singular Points of Plane Curves.