MATH6072 - Topics in Topology II - 2023/24
Announcement
- Classes currently meet via Zoom. Email yjlee@ims.cuhk.edu.hk for the Zoom link.
Textbooks
- Ozsváth-Szabó, "An introduction to Heegaard Floer homology", in Floer homology, gauge theory, and low dimensional topology, 3-27, AMS, 2006.
- Ozsváth-Szabó, "Lectures on Heegaard Floer homology", in Floer homology, gauge the-ory, and low dimensional topology, 29-70, AMS, 2006.
- Ozsváth-Szabó, "Heegaard diagrams and holomorphic disks", in Different faces of geometry, 301-348, Kluwer/Plenum, New York, 2004.
- C. Manolescu, "An introduction to knot Floer homology", in Physics and mathematics of link homology, 99-135, Contemp. Math. 680, AMS, 2016.
- J. Hom, "A survery on Heegaard Floer homology and concordance", J. Knot Theory Ramifications 26 (2017), no. 2, 1740015, 24 pp.
References
- Ozsváth-Szabó, "Holomorphic disks and topological invariants for closed three-manifolds", Ann. Math.
- Ozsváth-Szabó, "Holomorphic disks and three-manifold invariants: properties and applications", Ann. Math.
- Robert Lipshitz, "A cylindrical reformulation of Heegaard Floer homology", Geom. Top.
- Ozsváth-Szabó, "Absolutely Graded Floer homologies and intersection forms for four-manifolds with boundary"
- McDuff & Salamon, Introduction to Symplectic Topology.
- McDuff & Salamon, J-holomorphic Curves and Symplectic Topology.
Assessment Scheme
Attendance: A- for satisfactory attendance | 100% | |
An "A" grade can be obtained by volunteering a presentation on topics approved by the instructor. | % |
Useful Links
- Ozsváth and Szabó, "An Introduction to Heegaard Floer Homology"
- Ozsváth and Szabó, "Lectures on Heegaard Floer Homology"
- Ozsváth and Szabó, "Heegaard Diagrams and Holomorphic Disks"
- J. Hom, "Lecture notes on Heegaard Floer homology"
Assessment Policy Last updated: January 24, 2024 10:41:11