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Contact geometry and the mapping class group. (English) Zbl 1496.57021

This is a very short exposition of cutting and gluing of 3-manifolds, mapping class groups, contact structures and their interrelations.

MSC:

57K33 Contact structures in 3 dimensions
57K20 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.)
57K30 General topology of 3-manifolds
57R17 Symplectic and contact topology in high or arbitrary dimension
53D05 Symplectic manifolds (general theory)
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