By Frédéric Bourgeois,Vincent Colin,András Stipsicz
Symplectic and call geometry certainly emerged from the
mathematical description of classical physics. the invention of new
rigidity phenomena and houses happy by means of those geometric
structures introduced a brand new study box all over the world. The intense
activity of many ecu learn teams during this box is reflected
by the ESF learn Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the summer time tuition in Nantes (June 2011) and of the forged summer season university in Budapest (July 2012) supply a pleasant landscape of many facets of the current prestige of touch and symplectic topology. The notes of the minicourses provide a gradual creation to subject matters that have built in an awesome velocity within the contemporary previous. those issues contain three-dimensional and better dimensional touch topology, Fukaya different types, asymptotically holomorphic equipment involved topology, bordered Floer homology, embedded touch homology, and adaptability effects for Stein manifolds.
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