[Turkmath:3048] MSGSÜ-Matematik Genel Seminer- Hakan Doğa- 20.06.2018, 16:00

[Sibel Şahin]

 Sayın liste üyeleri,

*20 Haziran , Çarşamba 16:00'**da* MSGSÜ Matematik Bölümü Genel
Semineri'nde  University at Buffalo SUNY'den *Hakan Doğa* " *Transverse
Knots and Grid Homology**"* başlıklı bir konuşma verecektir. Konuşmanın
özeti aşağıda yer almaktadır.

Seminerde görüşmek dileğiyle,
Sibel ŞAHİN


*Başlık:* Transverse Knots and Grid Homology

*Özet:*  Given any knot  $K \subset S3$, there are different ways of
representing these knots and each one of them has its own advantage. A grid
diagram is a piecewise linear, planar or toroidal representation of a knot
using an nxn grid with X and O-markings, following a certain convention
about the over/under crossings and the orientation of the knot. Transverse
knots form a special family of knots living in S^3 equipped with a contact
structure. We can represent transverse knots with grid diagrams as well.
Grid homology associated to a grid representation of a given knot provides
an invariant of the knot which can be computed combinatorially. This
feature of grid homology yields to certain computational advantages. From
this structure, one can extract this numerical invariant $\theta(K)$ for
any knot K which detects the transverse simplicity. If time permits, I will
present an example to demonstrate the efficiency of grid homology method to
determine the transverse simplicity of a knot type.
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