Reading Seminar on Heegaard Floer homology and related topics
Winter 2018
Time: Wednesdays, 3:004:30pm
Location: 104 Math
Description: We will read papers on involutive Heegaard Floer homology.
Date 
Speaker 
Title 
Jan 17  Yi Ni  Sect 13 of HendricksManolescu's paper 
Jan 24  Cancelled  
Jan 31  Cancelled  
Feb 7  Juhyun Kim  Sect 45 
Feb 14  Faramarz Vafaee  Sect 6 
Feb 21  Faramarz Vafaee  Sect 67 
Feb 28  Gahye Jeong  Sect 8 
Mar 7  
Mar 14 
Fall 2017
Time: Wednesdays, 3:004:30pm
Location: 104 Math
Description: We will read some papers about the naturality of Heegaard Floer homology.
Date 
Speaker 
Title 
Oct 4  Yi Ni  Sect 13 of JuhaszThurston's paper 
Oct 11  Gahye Jeong  Sect 45 
Oct 18  Siqi He  Sect 6 
Oct 25  Juhyun Kim  Sect 7 
Nov 1  Yi Ni  Sect 8 
Nov 8  Cancelled  
Nov 15  Faramarz Vafaee  Sect 9 
Nov 22  Cancelled  
Nov 29  Gahye Jeong  Sect 15 of Zemke's paper 
Dec 6  Juhyun Kim  Sect 610 
Spring 2017
Time: Wednesdays, 3:004:30pm
Location: 257 Sloan
Description: We will read some papers.
Date 
Speaker 
Title 
Apr 5  Yi Ni  Knot Floer homology and integer surgeries 
Apr 12  Siqi He  The KobayashiHitchin correspondence 
Apr 19  Gahye Jeong  A product formula for SeibergWitten invariants 
Apr 26  Faramarz Vafaee  Integer surgery on links 
May 3  Siqi He  TBA 
May 10  Juhyun Kim  On the Floer homology of plumbed threemanifolds 
May 17  Cancelled  
May 24  Gahye Jeong  On the OzsvathSzabo invariant of negative definite plumbed 3manifolds, after Nemethi 
May 31  Faramarz Vafaee  Integer surgery on links, continued 
Jun 7  Yi Ni  Lattice cohomology of normal surface singularities, after Nemethi 
Spring 2016
Time: Wednesdays, 3:004:30pm
Location: 257 Sloan
Description: We will read some papers of Kronheimer and Mrowka on instanton Floer homology.
Date 
Speaker 
Title 
Apr 6  Yi Ni  Khovanov homology is an unknot detector, after Kronheimer and Mrowka 
Apr 13  Gahye Jeong  Knots, sutures, and excision, after Kronheimer and Mrowka 
Apr 20  Cancelled (special seminar by Lee)  
Apr 27  Siqi He  Filtrations on instanton homology, after Kronheimer and Mrowka 
May 4  Gahye Jeong  Gauge theory and Rasmussen's invariant, after Kronheimer and Mrowka 
May 11  Faramarz Vafaee  Tait colorings, and an instanton homology for webs and foams, after Kronheimer and Mrowka 
May 18  Cancelled (Candidacy exams of Gahye and Siqi)  
May 25  Cancelled  
Jun 1  Cancelled  
Jun 8, 23:30pm  Siqi He  Exact triangles for SO(3) instanton homology of webs, after Kronheimer and Mrowka 
Winter 2016
Time: Wednesdays, 3:004:30pm
Location: 257 Sloan
Description: We will read some papers about KhovanovRozansky homology.
Date 
Speaker 
Title 
Jan 20  Siqi He  KhovanovRozansky homology, after KhovanovRozansky 1 and 2 
Jan 27  Caili Shen  Note on Khovanov link cohomology, after Gornik 
Feb 3  Satoshi Nawata  The superpolynomial for knot homologies, after DunfieldGukovRasmussen 
Feb 10  Gahye Jeong  KhovanovRozansky homology of twobridge knots and links, after Rasmussen 
Feb 17  Faramarz Vafaee  Some differentials on KhovanovRozansky homology, after Rasmussen 
Feb 24  Cancelled (Bonahon's NCG seminar at 3:30pm in 151)  
Mar 2  Gahye Jeong  The s_N invariants, after Lobb and Lewark 
Mar 9, 34pm  Siqi He  Nilpotent slices, Hilbert schemes, and the Jones polynomial, after Manolescu 
Fall 2015
Time: Wednesdays, 3:104:30pm
Location: 153 Sloan
Description: We will read some papers about the concordance invariants in knot Floer homology.
Date 
Speaker 
Title 
Sep 30  Faramarz Vafaee  A combinatorial spanning tree model for knot Floer homology, after BaldwinLevine 
Oct 7  Siqi He  Knot Floer homology and the fourball genus, after OzsvathSzabo 
Oct 14  Yi Ni  Concordance homomorphisms from knot Floer homology, after OzsvathStipsiczSzabo 
Oct 21  Gahye Jeong  Unoriented knot Floer homology and the unoriented fourball genus, after OzsvathStipsiczSzabo 
Oct 28  Cancelled  
Nov 4  Faramarz Vafaee  Bordered Heegaard Floer homology and the tauinvariant of cable knots, after Hom 
Nov 11  Yi Ni  The knot Floer complex and the smooth concordance group, after Hom 
Nov 18  Siqi He  An infiniterank summand of topologically slice knots, after Hom 
Nov 25  Gahye Jeong  The fourgenus of connected sums of torus knots, after LivingstonVan Cott 
Spring 2015
Time: Wednesdays, 3:004:30pm
Location: 257 Sloan
Description: We will read some basic papers about combinatorial knot Floer homology.
Date 
Speaker 
Title 
Apr 1  Yi Ni  A combinatorial description of knot Floer homology, after ManolescuOzsvathSarkar 
Apr 8  Faramarz Vafaee  On combinatorial link Floer homology, after ManolescuOzsvathSzaboThurston 
Apr 15  Cancelled, special seminar by McCoy  
Apr 22  Gahye Jeong  Floer homology and singular knots, after OzsvathStipsiczSzabo 
Apr 29  Siqi He  KhovanovRozansky homology, after KhovanovRozansky 1 and 2 
May 6  Cancelled  
May 13  Caili Shen  A cube of resolutions for knot Floer homology, after OzsvathSzabo 
May 20  Siqi He  An untwisted cube of resolutions for knot Floer homology, after Manolescu 
May 27  Gahye Jeong  An unoriented skein exact triangle for knot Floer homology, after Manolescu and ManolescuOzsvath 
June 3  Cancelled  A combinatorial spanning tree model for knot Floer homology, after BaldwinLevine 
Winter 2015
Time: Wednesdays, 3:204:50pm
Location: 153 Sloan
Description: We continue to read Manolescu's work on SeibergWitten stable homotopy types.
Date 
Speaker 
Title 
Jan 7  Yi Ni  Pin(2)Equivarient SeibergWitten Floer homology and the Triangulation Conjecture, after Manolescu 
Jan 14  Yi Ni  continued 
Jan 21  Yi Ni  continued 
Jan 28  Cancelled  
Feb 4  Cancelled  
Feb 11  Siqi He  Periodic Floer prospectra from the SeibergWitten equations, after KronheimerManolescu 
Fall 2014
Time: Wednesdays, 3:004:30pm
Location: 151 Sloan
Description: The goal of this quarter is to understand Manolescu's work on SeibergWitten stable homotopy types.
Date 
Speaker 
Title 
Oct 15  Yi Ni  SeibergWitten equations on cylinders 
Oct 22  Yi Ni  SeibergWitten equations on cylinders, continued 
Oct 29  Cancelled, special seminar by Zhou Zhang  
Nov 5  Cancelled, Barry Simon retirement party  
Nov 12  Faramarz Vafaee  SeibergWittenFloer stable homotopy type of threemanifolds with b_1=0, afterManolescu, see also the errata 
Nov 19  Cancelled  
Nov 26  Faramarz Vafaee  continued 
Dec 3  Siqi He  A gluing theorem for the relative BauerFuruta invariants, after Manolescu 
Spring 2014
Time: Wednesdays, 2:303:30pm
Location: 151 Sloan
Description: The goal of this quarter is to understand stable homotopy types in Khovanov homology and Floer homology.
Date 
Speaker 
Title 
Apr 2  Yi Ni  The CohenJonesSegal construction (following CohenJonesSegal 1 and 2) 
Apr 9  Nakul Dawra  Khovanov spectrum: the construction (following LipshitzSarkar) 
Apr 16  Nakul Dawra  Khovanov spectrum: the construction, continued (following LipshitzSarkar) 
Apr 23  Caili Shen  Khovanov spectrum: invariance and properties (following LipshitzSarkar) 
Apr 30  Caili Shen  Khovanov spectrum: invariance and properties, continued (following LipshitzSarkar) 
May 7  Siqi He  A Steenrod Square on Khovanov Homology (following LipshitzSarkar) 
May 14  Siqi He  A Steenrod Square on Khovanov Homology, continued (following LipshitzSarkar) 
May 21  Nakul Dawra  A refinement of Rasmussen's sinvariant (following LipshitzSarkar) 
May 28  Yi Ni  The BauerFuruta invariant (following BauerFuruta) 
Fall 2013
Time: Wednesdays, 23:30pm
Location: 153 Sloan
Description: The goal of this quarter is to understand John Pardon's recent work
An algebraic approach to virtual fundamental cycles on moduli spaces of Jholomorphic curves.
Date 
Speaker 
Title 
Oct 9  Yi Ni  Technical introduction 
Oct 16  Yi Ni  Technical introduction, continued 
Oct 23  Cancelled  
Oct 30  Nakul Dawra  Homological algebra 
Nov 6  Nakul Dawra/Caili Shen  Homological algebra/ Implicit atlas 
Nov 13  Caili Shen  Virtual cochain complexes 
Nov 20 
Cancelled, Masbaum and Andersen's seminars 35:30pm 

Nov 27  Cancelled  
Dec 4  Zhiyu Tian  Fundamental class/GromovWitten invariants 
Spring 2013
Time: Wednesdays, 23:30pm
Location: 257 Sloan
Description: The goal of this quarter is to understand the topological aspect of Instanton Floer homology,
without focusing too much on its analytical aspect. More specifically, we wish to discuss Kronheimer and
Mrowka's result that Khovanov homology is an unknotdetector, as well as some related results. A master
class on this topic given by Mrowka at Aarhus can be viewed here.
Date 
Speaker 
Title 
April 3  Yi Ni  A brief introduction to instanton Floer homology, I, (following Donaldson's book) 
April 10  Yi Ni  A brief introduction to instanton Floer homology, II, (following Donaldson's book) 
April 17  Zhongtao Wu  Knot homology groups from instantons, I, (after Kronheimer and Mrowka) 
April 24  Nakul Dawra  Knot homology groups from instantons, II, (after Kronheimer and Mrowka) 
May 1  Yi Ni  Sutures, excision, and instanton Floer homology, (after Kronheimer and Mrowka) 
May 8  Liling Gu  Instanton Floer homology and the Alexander polynomial, (after Kronheimer and Mrowka) 
May 15  Caili Shen  Dehn surgery, the fundamental group and SU(2), (after Kronheimer and Mrowka) 
May 22  Zhongtao Wu  Khovanov homology is an unknotdetector, I, (after Kronheimer and Mrowka) 
May 29  Nakul Dawra  Khovanov homology is an unknotdetector, II 
June 6  Liling Gu  Khovanov homology is an unknotdetector, III 
Winter 2013
Time: Thursdays, 2—3:30pm
Location: the conference room in 253 Sloan
Date 
Speaker 
Title 
Jan 17  Yi Ni  The Heegaard Floer correction terms 
Jan 24 
Liling Gu 
Small Seifertfibered Dehn surgery on hyperbolic knots, (after Dean) 
Jan 31  Hongbin Sun  Small dilatation pseudoAnosovs and 3manifolds, (after FarbLeiningerMargalit) 
Feb 7 
Nakul Dawra 
On the Floer homology of plumbed threemanifolds, (after OzsvathSzabo) 
Feb 14 
Cancelled 

Feb 21 
Caili Shen 
Naturality and mapping class groups in Heegaard Floer homology, (after JuhaszThurston) 
Feb 28 
Yi Ni 
Teichmuller Polynomials, (after McMullen) 
Mar 7 
Zhongtao Wu 
Product formulae for Ozsváth–Szabó 4–manifold invariants, (after JabukaMark) 
Mar 14 
Liling Gu 
Some constructions related to Dehn surgery 
Fall 2012
Time: Wednesdays, 2pm—3:30pm
Location: 153 Sloan
Description: We will continue reading Manolescu and Ozsváth’s link surgery formula.
Date 
Speaker 
Title 
Oct 10 
Nakul Dawra 
Statement of the surgery theorem 
Oct 17 
Liling Gu 
Truncation 
Oct 24 
Zhongtao Wu 
Truncation, continued 
Oct 31 
Nakul Dawra 
Beyond the surgery theorem 
Nov 7 
Liling Gu 
On the infinity flavor of Heegaard Floer homology and the integral triple cohomology ring, (after Tye Lidman) 
Nov 14 Canceled 

Nov 21 
Zhongtao Wu 
Heegaard Floer homology and triple cup products, (after Tye Lidman) 
Nov 28 
Nakul Dawra 
Framed Floer homology, (after Tye Lidman) 
Spring 2012
Date 
Speaker 
Title 
Apr 2 
Liling Gu 
Knot Floer homology and integer surgeries 
Apr 9 
Nakul Dawra 
On the Heegaard Floer homology of branched doublecovers 
Apr 16 
Cancelled 

Apr 23 
Yi Ni 
Integer surgery on links: Introduction 
Apr 30 
Zhongtao Wu 
Knot Floer homology and rational surgeries 
May 7 
Nakul Dawra 
Hyperboxes of chain complexes and compression 
May 14 
Liling Gu 
Generalized Heegaard Floer complexes for links 
May 23, 159 Sloan 
Yi Ni 
Quasistabilizations 
May 29, 159 Sloan 
Zhongtao Wu 
Hyperboxes of Heegaard diagrams 
June 11 
Nakul Dawra 
Statement of the surgery theorem 
Winter 2012
Time: Wednesdays, 4pm—5:30pm
Location: 153 Sloan
Date 
Speaker 
Title 
Jan 11 
Yi Ni 
Sutured manifolds and Heegaard Floer homology 
Jan 18 
Liling Gu 
Knot Floer homology of Whitehead doubles (after Hedden) 
Jan 24(Tuesday) 1:30pm—3pm 257 Sloan 
Nakul Dawra 
Pseudo holomorphic curves in symplectic manifolds (after Gromov) 
Feb 1 
Yi Ni 
Sutured manifolds and Heegaard Floer homology, II 
Feb 8 
Liling Gu 
Knot Floer homology of Whitehead doubles, II 
Feb 15 
Nakul Dawra 
Pseudo holomorphic curves in symplectic manifolds, II 
Feb 22 Cancelled 


Feb 29 
Liling Gu 
On Floer homology and Cabling (after Hedden) 
Mar 7 
Nakul Dawra 
Concordance invariants from higher order covers (after Jabuka) 
Mar 14 
Yi Ni 
Some open problems 