Compact leaves of 2-dimensional foliations on 4-manifolds: existence and self-intersection numbers


Elmar Vogt. Freie Universitšt, Berlin



Xoves 26 de febreiro de 2009 Šs 16:30 horas na aula 7.


Resumo:
This is joint work with Y. Mitsumatsu. We describe homological conditions for embedded closed surfaces in 4-manifolds to be leaves of a foliation. This is used to study self-intersection numbers of compact leaves of foliations on products of two surfaces. Some interesting new examples of foliations with leaves of large self-intersection numbers are produced, some of which can be nicely visualized.


© Elmar Vogt.