Lefschetz fibrations over the disk

Details Lefschetz fibrations over the disk Lefschetz fibrations over the disk

2011-04-23

arxiv.org/abs/1104.4536v2

Mathematics

Geometric Topology

52 pages, 67 figures

Scientific paper

We provide a complete set of moves relating any two Lefschetz fibration over
the disk having as their total space the same 4-dimensional 2-handlebody up to
2-equivalence. As a consequence, we also obtain moves relating diffeomorphic
3-dimensional open books, providing a different approach to an analogous
previous result by Harer.

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