Circle-valued Morse Theory Judith Riley R60-Datenbank evaluiert

R60-Datenbank evaluiert

being selections from the author's

Folgende Aspekte sollen dabei genauer untersucht werden:

and applications in a very wide variety of fields

das die Nachwuchswissenschaftler in ihren Vorhaben unterstützt einen erfolgversprechenden Forschungsantrag zu stellen

Circle-valued Morse Theory Judith Riley R60-Datenbank evaluiertIn 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