Construction of quasi-morphisms on groups of measure-preserving homeomorphisms of non-orientable surfaces

Speaker
Rishi Kumar, BGU
Date
10/11/2020 - 12:30 - 11:30Add to Calendar 2020-11-10 11:30:00 2020-11-10 12:30:00 Construction of quasi-morphisms on groups of measure-preserving homeomorphisms of non-orientable surfaces A quasi-morphism on a group G​​ is a real-valued function which satisfies the homomorphism equation up to a bounded error. Let Ng​​ be a non-orientable surface of genus g≥ 3​​ and let Homeo0(Ng,μ)​​ be the identity component of the group of measure-preserving homeomorphisms of Ng​​. We prove that the space of homogeneous quasi-morphisms on the group Homeo0(Ng,μ)​​ is infinite-dimensional. This project is part of an M.Sc. thesis under the supervision of Dr. Brandenbursky.  https://us02web.zoom.us/j/86598835561 אוניברסיטת בר-אילן - Department of Mathematics mathoffice@math.biu.ac.il Asia/Jerusalem public
Place
https://us02web.zoom.us/j/86598835561
Abstract

A quasi-morphism on a group G​​ is a real-valued function which satisfies the homomorphism equation up to a bounded error. Let Ng​​ be a non-orientable surface of genus g≥ 3​​ and let Homeo0(Ng,μ)​​ be the identity component of the group of measure-preserving homeomorphisms of Ng​​.
We prove that the space of homogeneous quasi-morphisms on the group Homeo0(Ng,μ)​​ is infinite-dimensional. This project is part of an M.Sc. thesis under the supervision of Dr. Brandenbursky. 

Last Updated Date : 05/11/2020