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arxiv: math/9903090 · v2 · submitted 1999-03-15 · 🧮 math.AT · math.DG· math.KT

The algebraic construction of the Novikov complex of a circle-valued Morse function

classification 🧮 math.AT math.DGmath.KT
keywords complexfunctionmorsecircle-valuednovikovalgebraicalgebraicallyconstructed
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The Novikov complex of a circle-valued Morse function is constructed algebraically from the Morse-Smale complex of the restriction to a fundamental domain of the real-valued Morse function on the pullback infinite cyclic cover.

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