Read e-book online Circle-valued Morse Theory (De Gruyter Studies in PDF

By Andrei V. Pajitnov

In the early Nineteen Twenties M. Morse came across that the variety of severe issues of a gentle functionality on a manifold is heavily concerning the topology of the manifold. This grew to become a place to begin of the Morse thought that is now one of many easy components of differential topology.

Circle-valued Morse concept originated from an issue in hydrodynamics studied by means of S. P. Novikov within the early Nineteen Eighties. these days, it's a continuously starting to be box of up to date arithmetic with purposes and connections to many geometrical difficulties akin to Arnold's conjecture within the conception of Lagrangian intersections, fibrations of manifolds over the circle, dynamical zeta capabilities, and the speculation of knots and hyperlinks within the three-d sphere.

The goal of the e-book is to offer a scientific remedy of geometric foundations of the topic and up to date examine effects. The publication is on the market to first 12 months graduate scholars focusing on geometry and topology.

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Circle-valued Morse Theory (De Gruyter Studies in Mathematics) by Andrei V. Pajitnov

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