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math.DS2001
Homotopical Dynamics IV: Hopf invariants and hamiltonian flows
Octavian Cornea
In a non-compact context the first natural step in the search for periodic orbits of a hamiltonian flow is to detect bounded ones. In this paper we show that, in a non-compact sett…
math.AT2001
Rigidity and gluing for Morse and Novikov complexes
Octav Cornea, Andrew Ranicki
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…