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math.GT2021
Holonomic approximation through convex integration
Patrick Massot, Mélanie Theillière
Convex integration and the holonomic approximation theorem are two well-known pillars of flexibility in differential topology and geometry. They may each seem to have their own fla…
math.GT2013
Topological methods in 3-dimensional contact geometry
Patrick Massot
These notes provide an introduction to Giroux's theory of convex surfaces in contact 3-manifolds and its simplest applications. They put a special emphasis on pictures and discussi…