Remembering Sofya Kovalevskaya by Michèle Audin

Items in order will be sent via Express post as soon as they arrive in the warehouse. Order may come in multiple shipments, however you will only be charged a flat fee.Ģ-10 days after all items have arrived in the warehouse Items in order will be sent as soon as they arrive in the warehouse. Morse Theory and Floer Homology will be particularly helpful for graduate and postgraduate students. The book originated in a graduate course given at Strasbourg University, andĬontains a large range of figures and exercises. The three appendices present a few prerequisites in differential geometry, algebraic topology and analysis. The building blocks of Floer homology are more intricate and imply the use of more sophisticated analytical methods, all of which are explained in this second Particular in the proof of the Arnold conjecture. Its involvement has been crucial in the recent achievements in symplectic geometry and in Floer homology is an infinite-dimensional analogue of Morse homology. Model for Floer homology, which is covered in the second part.

It defines the Morse complex and the Morse homology, and develops some of their applications. Introduction to Morse theory, a fundamental tool of differential topology. It is devoted to explaining the solution of an important problem originating from classical mechanics: the 'Arnold conjecture', whichĪsserts 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. This book is an introduction to modern methods of symplectic topology.

Remembering Sofya Kovalevskaya by Michèle Audin