Reading group on Heegaard Floer homology





Organizers: Weizhe Shen and Melissa Zhang

Meetings:

We will follow Manolescu's notes as a launchpad, skipping some portions and supplementing with other references.

Many thanks to Eleanor for collecting these additional resources:


Schedule

Date Speaker Topic (approximate) References
Sep 30 Melissa Intro to Heegaard Floer homology and applications; talk scheduling Manolescu's notes, Sections 1, 2
Oct 7 Eleanor HFK definition I: Heegaard diagram for knot complement, Floer chain complex, relative gradings Manolescu's notes, Sections 3.1, 3.2
Eleanor's notes
(note MZ's convention is for a disk to glue to the alpha torus on the first half of the boundary)
Oct 14 Annette HFK definition II: knot filtration, minus flavor Manolescu's notes, Sections 3.3, 3.6
Oct 21 Eleanor HFK definition III: minus and infinity flavors; Heegaard Floer homology for 3-manifolds Eleanor's notes
Oct 28 Stephen Seifert surfaces, 3-ball genus, fibered knots Rolfsen's Knots and Links
Nov 4 Weizhe TBD
(Nov 11) none Veteran's Day, no seminar
Nov 18 Trevor / Eleanor Dehn surgery, large surgery formula
Nov 25 Alex Contact element, Legendrian and transverse invariants
Dec 2 TBD TBD