Download Embedding Problems in Symplectic Geometry (De Gruyter by Felix Schlenk 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 striking tension phenomena for symplectic mappings came upon within the final twenty years express that definite issues cannot be performed through 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 booklet is to teach that sure different issues can be performed through symplectic mappings. this is often accomplished by way of a variety of simple and specific symplectic embedding structures, equivalent to "folding", "wrapping'', and "lifting''. those buildings are performed intimately and are used to resolve a few particular symplectic embedding difficulties.

The exposition is self-contained and addressed to scholars and researchers drawn to geometry or dynamics.

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