School of Mathematics Colloquium

Open book decomposition and open book embeddings of closed 3-manifolds.

by Dr. Abhijeet Ghanwat (TIFR, Mumbai)

Thursday, February 24, 2022 from to (Asia/Kolkata)
at Via Zoom
Description
Abstract: In the first part, we will discuss a new proof of the existence
of an open book decomposition for a closed non-orientable 3–manifold. This
open book decomposition is analogous to a planar open book decomposition
for a closed orientable 3–manifold. More precisely,  we give an open book
decomposition of a given closed non-orientable 3–manifold with the pages
punctured Möbius bands and the monodromy product of Dehn twists.

In the second part, we will discuss open book embeddings of closed
non-orientable 3-manifolds into 5-manifolds.

This is a joint work with Suhas Pandit and A Selvakumar.