For zoom details contact Christian Kaiser (kaiser@mpim-bonn.mpg.de).
Birkhoff sections are a type of transverse surfaces to a flow which give information on the topology and the dynamic of the flow. They have been particularly useful to study Anosov flows in dimension 3. I will present some constructions of Birkhoff sections and explain that they are classified by their relative homology.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/158