Sutured Floer Homology Reading Group Summer 2020
The goal of our reading group is to gain a foundation in sutured Floer homology and cover some applications of the theory in low-dimensional Topology and contact geometry. We meet on Thursdays at 2pm (Boston time) over Zoom. If you want more information please contact me.
Below is our schedule and references for each talk.
May 28th - Siddhi Krishna
Title: An introduction to sutured manifolds, taut foliations, and Gabai's early work.
References:
Gabai, Detecting fibered links in S3; https://eudml.org/doc/140067
Gabai, Foliations I; https://projecteuclid.org/euclid.jdg/1214437784
Gabai, Foliations II; https://projecteuclid.org/euclid.jdg/1214441487
Gabai, Foliations III; https://projecteuclid.org/euclid.jdg/1214441488
Gabai, Genus is superadditive under band connected sum; https://core.ac.uk/download/pdf/82257483.pdf
June 4th - Break for NCNGT
June 11th - Break for NCNGT
June 18th - Fraser Binns
Title: An Introduction to Sutured Floer Homology
References:
Lipshitz, Heegaard Floer Homologies: lecture notes; https://arxiv.org/abs/1411.4540
June 25th - Gage Martin
Title: Sutured Floer homology and surface decompositions
References:
Lipshitz, Heegaard Floer Homologies: lecture notes; https://arxiv.org/abs/1411.4540
July 2nd - Joshua Wang (Harvard)
Title: Introduction to sutured instanton homology
References:
"Knots, sutures, and excision" - Kronheimer, Mrowka http://people.math.harvard.edu/~kronheim/excision_paper.pdf
"Khovanov homology is an unknot-detector" - Kronheimer, Mrowka https://arxiv.org/abs/1005.4346
July 9th - Marius Huber
Title: Knot Floer Homology and Seifert Surfaces
References:
Juhász - Knot Floer homology and Seifert surfaces (https://arxiv.org/abs/math/0702514)
July 16th - Braeden Reinoso
Title: The contact class in sutured floer homology
References:
https://arxiv.org/abs/0705.2828
https://arxiv.org/abs/0711.0880
https://arxiv.org/abs/0706.1602
https://arxiv.org/abs/0806.1436
July 23rd - Ian Montague (Brandeis)
Title: The Honda-Kazez-Matic gluing map
References:
Honda-Kazez-Matic: https://arxiv.org/pdf/0807.2431.pdf
Stipsicz-Vertesi: https://arxiv.org/pdf/0806.1436.pdf
Etnyre-Vela-Vick-Zarev: https://arxiv.org/pdf/1408.5858.pdf
Juhasz: https://arxiv.org/pdf/0910.4382.pdf
Juhasz-Zemke: https://arxiv.org/pdf/1803.04401.pdf
Zarev: http://www.math.columbia.edu/~thaddeus/theses/2011/zarev.pdf
Leigon-Salmoiraghi: https://arxiv.org/pdf/2005.04827.pdf
July 30th - Charles Stine (Brandeis)
Title: The Action of the First Homology on Sutured Floer Homology
References:
August 6th - Gage Martin
Title: Sutured Floer homology, (annular) Khovanov homology, and branched double covers
References:
Lipshitz Section 5 https://arxiv.org/pdf/1411.4540.pdf
Grigsby-Wehrli https://arxiv.org/pdf/0907.4375.pdf