Speaker : Prof. Su Yang (Chinese Academy of Sciences)
Title : Fibering 5-manifolds with fundamental group over the circle.
Time : 2014-03-20 (Thu) 15:00 -
Place : Lecture Hall, Inst. of Mathematics
Abstract: Given a closed n-dimensional manifold whose fundamental group is , when is M a fiber bundle over the circle ? This is a problem of theoretical importance in the study of high dimensional manifolds. A classical result of Browder-Levine gives a necessary and sufficient condition when the dimension . In this talk I will discuss a solution of this problem for from the point of view of classification. In the topological category, we will see that the Browder-Levine condition is still true and in the smooth category there will be further obstructions related to the topology of smooth 4-manifolds. This is a joint work with M.Kreck.