Department:
MATH
Course Number:
8803-HOM
Hours - Lecture:
3
Hours - Lab:
0
Hours - Recitation:
0
Hours - Total Credit:
3
Typical Scheduling:
Not regularly scheduled
Special topics course on Introduction to Heegaard Floer homology offered in Fall 2017 by Jennifer Hom.
Prerequisites:
MATH 6441, Algebraic Topology I
Course Text:
TBA
Topic Outline:
Heegaard Floer homology, defined by Ozsvath and Szabo in the early
2000s, has proved to be a powerful tool in low-dimensional topology. We
will begin by defining Heegaard Floer homology, and then move on to the
following topics:
- Grid diagrams and combinatorial knot Floer homology
- Applications to the knot concordance and homology cobordism groups
- Applications to contact geometry and Legendrian knot theory
- Surgery formulas
- Bordered Floer homology for manifolds with boundary
- Computations by factoring mapping class groups
