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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Circle-valued Morse Theory

Circle-valued Morse Theory

Pajitnov, Andrei V.

Hardcover

Series: de Gruyter Studies in Mathematics, Book 32

General MathematicsGeometry

ISBN10: 3110158078
ISBN13: 9783110158076
Publisher: De Gruyter
Published: Dec 19 2006
Pages: 463
Weight: 1.99
Height: 1.16 Width: 6.89 Depth: 9.60
Language: English

In the early 1920s M. Morse discovered that the number of critical points of a smooth function on a manifold is closely related to the topology of the manifold. This became a starting point of the Morse theory which is now one of the basic parts of differential topology.

Circle-valued Morse theory originated from a problem in hydrodynamics studied by S. P. Novikov in the early 1980s. Nowadays, it is a constantly growing field of contemporary mathematics with applications and connections to many geometrical problems such as Arnold's conjecture in the theory of Lagrangian intersections, fibrations of manifolds over the circle, dynamical zeta functions, and the theory of knots and links in the three-dimensional sphere.

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