From veering triangulations to dynamic pairs

Fragen nacb Adler

Die sollte ich eigentlich per Template einfügen

1. Worum geht es in dem Buch From a Transverse veering triangulation a sequence of train tracks is created on top (respective bottom) of the tetrahedrons. We create two surfaces, the upper and lower-branched surfaces which continuously interpolates between those train tracks. In good cases a small isotopy suffices to get a so-called dynamic pair of surfaces. In general settings we need to put them into draped positions using straightening, shrinking and parting isotopies. Shearing regions serve as the fundamental building blocks of the arguments. The isotopies mentioned above have a canonical movement. This movement is explicitly described by bigon coordinates.

Feedback

• Give more information on the other three papers and if they are relevant to the understanding
• Nice that you refer to background
• Figure 2.4 it is not clear that we look from above.
• Note that we cant glue two veering triangles directly on top of each other.
• Page 8, second paragraph. If the angles are already 0 they should be like figure 2.3B without any further isotopy
• Say that Lemma 2.10 will be needed only in Section 5
• Definition 3.1 why is the semi-flow never orthogonal to the branch locus. The link to Moshers page doesnt seem to work
• p10 do you want to write $X^t$ instead of $X_t$. Because the field goes up. And because $B^t$ is the stable branched surface of $X_t$.