Morse homology on noncompact manifolds

Details Morse homology on noncompact manifolds Morse homology on noncompact manifolds

2009-11-09

arxiv.org/abs/0911.1805v1

Mathematics

Symplectic Geometry

26 pages

Scientific paper

Given a Morse function on a manifold whose moduli spaces of gradient flow
lines for each action window are compact up to breaking one gets a bidirect
system of chain complexes. There are different possibilities to take limits of
such a bidirect system. We discuss in this note the relation between these
different limits.

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