Bilkent University Topology Seminars

Minimal number of involution generators for the mapping class group
Mustafa Korkmaz
ODTÜ, Turkey
Özet : The mapping class group Mod(Σg) of a closed oriented surface Σg of genus g is the group of isotopy classes of orientation–preserving diffeomorphisms Σg → Σg. It is a fundamental object in low-dimensional topology. It is known that this group can be generated by finitely Dehn twists, torsion elements and also by involutions. In this talk I will discuss how to generate the group Mod(Σg) with the smallest number of generators consisting of these types of elements, particularly our recent result on involutions: Mod(Σg) is generated by three involutions.
  Tarih : 04.11.2019
  Saat : 13:40
  Yer : SA - 141
  Dil : English
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