Download E-books Embedding Problems in Symplectic Geometry (de Gruyter Expositions in Mathematics) PDF

By Felix Schlenk

Symplectic geometry is the geometry underlying Hamiltonian dynamics, and symplectic mappings come up as time-1-maps of Hamiltonian flows. The astounding tension phenomena for symplectic mappings came upon within the final twenty years exhibit that yes issues can't be performed by way of a symplectic mapping. for example, Gromov's recognized "non-squeezing" theorem states that one can't map a ball right into a thinner cylinder through a symplectic embedding. the purpose of this e-book is to teach that yes different issues should be performed by means of symplectic mappings. this can be completed through a variety of straight forward and particular symplectic embedding structures, similar to "folding", "wrapping", and "lifting". those structures are conducted intimately and are used to unravel a few particular symplectic embedding difficulties. The exposition is self-contained and addressed to scholars and researchers attracted to geometry or dynamics.

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