Knots and Open Book Decompositions

Research Horizons Seminar
Wednesday, February 4, 2009 - 12:00
1 hour (actually 50 minutes)
Skiles 255
Department of Mathematics, Middle East Technical University
Due to Alexander, it is well known that every closed oriented 3-manifold has an open book decomposition. In this talk, we will define open book decompositions of 3-manifolds. We will discuss various examples and sketch the proof of Alexander's theorem. Further, we will discuss the importance of the open books in manifold theory, in particular in contact geometry.