Handle friendship seminar 2014 since 2013

• The 15th break. 3/16(Mon.)(H)
  Keiji Tagami  10:00-11:30
  [Title]:Fibered knots and annulus presentations II
  [Abstract]:I add some comments about the computation of d₃ that I introduced in the end of the last seminar.
  
  
• The 14th break. 2/2(Mon.)(H335)
  Keiji Tagami  10:00-11:30
  [Title]:Fibered knots and annulus presentations
  [Abstract]:If a fibered knot K has an annulus presentation, we can construct another fibered knot from K by an annulus twist. In this talk, I consider the monodromies of these fibered knots. Especially, I give concrete calculations of these monodromies for K=6₃. Moreover, I compute the invariant d₃ of plane fields by these monodromies. This is a joint work with Tetsuya Abe.
  
  
• The 13th break. 1/19(Mon.)(H318)
  Genki Omori  10:00-11:30
  [Title]:A presentation for the automorphism group of the first homology of a non-orientable surface over $\mathbb Z_2$ preserving the intersection form
  [Abstract]:Let Aut(H₁(N_g;Z₂),⋅) be the group of automorphisms on the first homology group with Z₂ coefficients of a closed non-orientable surface N_g preserving the intersection form. In this talk, we obtain a explicit presentation for Aut(H₁(N_g;Z₂),⋅). As an application we calculate the second homology group of Aut(H₁(N_g;Z₂),⋅).
  
  
• The 12th break. 12/15(Mon.)(H318)
  Yuichi Yamada  10:00-11:00
  [Title]:Lens space surgery of a 2-component link
  [Abstract]:I found several (unexpected) lens surgery examples yielded by a 2-component link with Ken Baker's lecture as a trigger. Hoping new challenging topics will be dug up from that, I will give a talk of handle seminar style.
  
  Motoo Tange  11:00-11:30
  [Title]:An involution of an Akbulut-Kirby's contractible manifold with a non-zero coefficient
  [Abstract]:I treat an Akbulut-Kirby's contractible manifold with asymmetric framing. We show the manifold has an involution on the boundary. We discuss whehter the involution can be extended to inside.
  
  
• The 11th break. 12/8(Mon.)(H318)
  Takahiro Oba  10:00-11:30
  [Title]:Invariants of plane fields over 3-manifolds (Part II)
  [Abstract]:This is the third lecture. I introduce the concrete calculation of invariants given in previous lectures. Specially, we consider transverse link in S³ associated with standard contact structure on it and illustrate the contact structure on the branched space along the link.
  
  
• The 10th break. 11/17(Mon.)(318)
  Takahiro Oba  10:00-11:30
  [Title]:Invariants of plane fields over 3-manifolds (Part I)
  [Abstract]:
  
  
• The 9th break. 11/10(Mon.)(H318)
  Takahiro Oba  10:00-11:30
  [Title]:Invariants of plane fields over 3-manifolds (Part I)
  [Abstract]: I review the invariants of plane fields over 3-manifolds, which were introduced by R. Gompf. He defined some invariants about plane fields in the reference below. In this talk, we explain the invariant which is defined in the case where the first Chern class is a torsion class. I will give two lectures (today and next time). This time, I will focus on the theoretical aspect about this invariant and next time, will explain the classification of contact structures by using concrete examples
  [Reference] R. Gompf, Handlebody construction of Stein surfaces, Ann. of Math. 148(1998), 619--693
  
  TBA  11:30-12:00
  [Title]：
  [Abstract]：
  
  
• The 8th break. 10/20(Mon.)(H318)
  Tetsuya Abe  10:00-11:00
  [Title]:On the ribbon-ness of a fiber knot.
  [Abstract]:I discuss ribbon-ness of a fiber knot constructed by the annulus twist. In particular, it is done in terms of an element of the closed monodromy (the element of the mapping class group of the closed surface).
  
  
• The 8th break. 10/6(Mon.)(H318)This talk is canceled because of the 18th typhoon. Please mail me when a member sees this page.
  Tetsuya Abe  10:00-11:00
  [Title]：On the ribbon-ness of a fiber knot.
  [Abstract]：I discuss ribbon-ness of a fiber knot constructed by the annulus twist. In particular, it is done in terms of an element of the closed monodromy (the element of the mapping class group of the closed surface).
  
  

• The 7th break. 9/17(Wed.)(H318)
  Takahiro Oba  10:00-12:00 Note
  [Title]:On the Stein filling of homology sphere
  [Abstract]: I will give a talk about that if a contact structure on a homology sphere admits an open book decomposition whose page is 4-holed sphere, the diffeomorphism type of the Stein filling is unique. I begin with the fundamental explanation of relationship of Stein filling and PALF. After that, I introduce the way to determine the diffeomorphism types of the Stein filling by using PALF strucutre.
  
  
• The 6th break. 9/4(Thu.)(H340)
  Motoo Tange  10:00-12:00
  [Title]:Alexander polynomial of lens surgery knot
  [Abstract]:Alexander polynomial of lens surgery knot has a special form, that is, the absolute values of coefficients are less than or equal to 1. Here, I talk about what lining in the plane the coefficient of the polynomial of any lens surgery knot in a L-space homology sphere or any doubly primitive knot in a homology sphere, the non-zero coefficients are unicursal. By using this, I determine coefficients of the second term or below.
  
  
• The 5th break. 8/5(Tue.)(Morning)(H335)
  Shumi Kinjo  10:00-12:00
  [Title]:On the construction of singular Seifert surfaces by immersions from Kirby diagram
  [Abstract]:I will construct immersions of S³ into 4-dimensional space and introduce how to compute the regular homotopy classes. In particular, I will explain in detail the way to make "singular Seifert surfaces" by Kirby diagram, which is necessary to compute the regular homotopy classes
  
  (Afternoon)(H340)
  Yuichi Yamada  13:30-14:30
  [Title]:A consideration for Hamada's suggestion
  [Abstract]: I will talk what I consider Hamada's suggestion about Matsumoto's genus 2 Lefschetz fibration which was appeared in the previous Hamada's break.
  
  
• The 4th break. 7/1(Tue.)(H335)
  Noriyuki Hamada  10:00-12:30
  [Title]: Sections of Matsumoto's genus 2 Lefschetz fibration
  [Abstract]: I will talk about the basics of Lefschetz fibrations, Lefschetz pencils, and relations among Dehn twists appearing as the monodromies of them. As a more specific topic, we will discuss about (-1)-sections of the genus 2 Lefschetz fibraion with eight singular fibers, which was introduced by Yukio Matsumoto, and I will explain the construction of them if time allows.
  
  
• The 3rd break. 6/10(Tue.)(H335)
  Motoo Tange  10:00-12:30
  [Title]: Crash course of Gauge theory by Donaldson and Floer
  [Abstract]: I will give a brief explanation of gauge theory of ASD instanton. I review connections, curvature, ASD equation, and, if time permitted, Floer homology.
  
  
• The 2nd break. 5/13(Tue.)(H340)
  Yamada Yuichi  10:00-12:30
  [Title]: An explaination of "Action of the cork twist on Floer homology"
  [Abstract]: We will explain "Action of the cork twist on Floer homology" by S.Akbulut and C.Karakurt.
  [Reference]
  S.Akbulut and C.Karakurt, Action of the cork twist on Floer homology. Proc. of GGT/2011, Int. Press (2012) 42-52.
  
  
• The 1st break. 4/15(Tue.)(H335)
  Motoo Tange  10:00-12:30 (NoteI, NoteII)
  [Title]: Ribbon singularity set and Alexander polynomial
  [Abstract]: I speak the relationship between the set of ribbon singularities on the immersed ribbon disk and the Alexander polynomial of the ribbon knot. Next I speak the virtial graph from the ribbon presentation. Finally, I discuss how to discuss the singular set of the singularities on the general slice disk.