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This book is an introduction to modern methods of symplectic topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', which asserts that the number of 1-periodic trajectories of a non-degenerate Hamiltonian system is bounded below by the dimension of the homology of the underlying manifold. The first part is a thorough introduction to Morse theory, a fundamental tool of differential topology. It defines the Morse complex and the Morse homology, and develops some of their applications. Morse homology also serves a...

This volume unites a wide range of papers given at the international conference -Italy and Europe s Eastern Border. 1204-1669- in Rome in November 2010. Its content reflects the manifold research topics of a European scholarly community united in the joint endeavor to shape new aspects and to promote innovative fields of Mediterranean Studies. Therefore, various approaches to the overall topic can be found in this volume, be it from the viewpoint of war and religion, frontier and border studies, the union of churches, diplomacy, theology, economic history, humanism, diplomatics,...