Contact structures and geometric topology

Details Contact structures and geometric topology Contact structures and geometric topology

2010-04-19

arxiv.org/abs/1004.3172v1

Global Differential Geometry, Springer Proc. Math. 17, Springer-Verlag, Berlin (2012), 463-489

Mathematics

Symplectic Geometry

23 pages, 9 figures

Scientific paper

This is a survey on contact open books and contact Dehn surgery. The relation between these two concepts is discussed, and various applications are sketched, e.g. the monodromy of Stein fillable contact 3-manifolds, the Giroux-Goodman proof of Harer's conjecture on fibred links, construction of symplectic caps to fillings (Eliashberg, Etnyre), and detection of non-loose Legendrian knots with the help of contact surgery.

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