We will discuss using mapping class group techniques to approach
the 'geography' problem for Stein fillings of a contact 3-manifold. We
will show how these techniques give an obstruction for a contact three
manifold to admit a planar open book decomposition, and through examples
demonstrate independence of this obstruction from those previously
uncovered.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/3651