Symplectic methods in low-dimensional topology: Math 566
Meeting time: T Th 10:40-12:00
Classroom: Fine 1001
Instructor: Peter Ozsváth
phone: 609-258-4222
email:
petero@math.princeton.edu
office: 1106
office hrs: TBA.
The course:
The pace (and hence the material covered) will depend on the
audience. I plan to give a little introduction to grid homology, and
then move on to give an introduction to Heegaard Floer homology, and
conclude with recent developments (especially with bordered Floer
homology).
Recommended reading:
-
J. Milnor Morse Theory. Everyone should know this.
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Ana Canas da Silva Lectures on Symplectic Geometry. Basic background on symplectic geometry.
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R. Gompf and A. Stipsicz
4-Manifolds and Kirby Calculus, especially Chapter 2. Background on (4-dimensional) differential topology.
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M. Audin and M. Damian Morse theory and Floer homology. This is useful background for Floer homology.
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P. S. Ozsváth, A. Stipsicz Z. Szabó Grid homology for knots and links.
A very gently introduction to a combinatorial model for knot Floer homology.
I will also hand out notes on a book I am writing with Stipsicz and Szabó. Here is what's available so far.
Grading:
I will hand out homeworks periodically, and
there will be a final exam. The course grade is calculated
as follows:
I have taught this course many times in the
past. See here for a very detailed
syllabus from 2023.