## Department of Mathematics

Indian Institute Of Technology Madras , Chennai

### Embeddings of 3-manifolds in 5 dimensinal manifolds

#### Abstract :

We discuss embeddings of 3–manifolds via open books. First we show that every open book of every closed orientable 3–manifold admits an open book embedding in any open book decompistion of $S^2 X S^3$ and twisted $S^2X S^3$ with the page a disk bundle over $S^2$ and monodromy the identity. We then use open book embeddings to reprove Hrirsch's that every closed orientable 3–manifold embeds in $S^5$.

Key Speaker Dr. Suhas Jaykumar Pandit, Assistant Professor, Department of Mathematics, IIT Madras
Place NAC 522
Start Time 3:00 PM
Finish Time 4:00 PM