Colloquium abstracts

Abhijeet Ghanwat
TIFR, Mumbai
February 24, 2022

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