EUDML

Currently displaying 1 – 5 of 5

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The algebraic theory of finiteness obstruction.

Andrew Ranicki — 1985

Mathematica Scandinavica

Chain Complexes and Assembly.

Andrew Ranicki; Michael Weiss — 1990

Mathematische Zeitschrift

Rigidity and gluing for Morse and Novikov complexes

Octav Cornea; Andrew Ranicki — 2003

Journal of the European Mathematical Society

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 $(M, ω)$ with $c_{1} {|_{π_{2} (M)} = [ω] |}_{π_{2} (M)} = 0$ . 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 $C^{0}$ close generic function/hamiltonian....