Wyniki wyszukiwania dla: topological invariants

• Topological invariants for equivariant flows: Conley index and degree

  Publikacja

  • M. Styborski

  - Rok 2010

  About forty years have passed since Charles Conley defined the homotopy index. Thereby, he generalized the ideas that go back to the calculus of variations work of Marston Morse. Within this long time the Conley index has proved to be a valuable tool in nonlinear analysis and dynamical systems. A significant development of applied methods has been observed. Later, the index theory has evolved to cover such areas as discrete dynamical...

• Seiberg-Witten invariants the topological degree and wall crossing formula

  Publikacja

  • M. Starostka

  - Central European Journal of Mathematics - Rok 2012

  Following S. Bauer and M. Furuta we investigate finite dimensional approximations of a monopole map in the case b 1 = 0. We define a certain topological degree which is exactly equal to the Seiberg-Witten invariant. Using homotopy invariance of the topological degree a simple proof of the wall crossing formula is derived.

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