Symplectic geometry is the geometry underlying Hamiltonian
dynamics, and symplectic mappings arise as time-1-maps of
Hamiltonian flows. The spectacular rigidity phenomena for
symplectic mappings discovered in the last two decades show that
certain things cannot be done by a symplectic mapping. For
instance, Gromov's famous "non-squeezing'' theorem states that one
cannot map a ball into a thinner cylinder by a symplectic
embedding. The aim of this book is to show that certain other
things can be done by symplectic mappings. This is achieved by
various elementary and explicit symplectic embedding constructions,
such as "folding," "wrapping'', and "lifting''. These constructions
are carried out in detail and are used to solve some specific
symplectic embedding problems. The exposition is self-contained and
addressed to students and researchers interested in geometry or
dynamics.
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