E-cohomological Conley index

E-cohomological Conley index

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Maciej Starostka, Gdansk University of Technology
Fine Hall 314

We review some basic facts about the classical Conley index and E-cohomology theory, i.e.  generalized cohomology theory which detects non-triviality of infinite dimensional spheres. This allows us to define a version of infite dimensional Conley index. To show that our invariant is computable and non-trivial we reprove the Arnold conjecture on T^2n.