Singularities, double points, controlled topology and chain duality.
Noncommutative localisation in algebraic -theory. I.
The algebraic theory of finiteness obstruction.
Chain Complexes and Assembly.
Rigidity and gluing for Morse and Novikov complexes
We obtain rigidity and gluing results for the Morse complex of a real-valued Morse function as well as for the Novikov complex of a circle-valued Morse function. A rigidity result is also proved for the Floer complex of a hamiltonian defined on a closed symplectic manifold with . The rigidity results for these complexes show that the complex of a fixed generic function/hamiltonian is a retract of the Morse (respectively Novikov or Floer) complex of any other sufficiently close generic function/hamiltonian....
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