I constructed (4n-1)-dimensional contact manifolds with infinitely many Stein fillings by open books and Lefschetz fibrations. In fact, this construction is a generalization of a low-dimensional example, and combinatorics of mapping class groups play an important role. In this talk, first I will discuss some difficulties of higher-dimensional open books and Lefschetz fibrations. After this, I will focus on mapping class group techniques and present my construction. Also, I will explain why the construction does not work well in the other dimensions.
Mittwoch, den 10. Januar 2018 um 16.15 Uhr, in Mathematikon, INF 205, SR 4 Mittwoch, den 10. Januar 2018 at 16.15, in Mathematikon, INF 205, SR 4
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. P. Albers