Circle-Valued Morse Theory

By A. Pajitnov. 2006

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LAGRANGIAN INTERSECTIONS AND THE SERRE SPECTRAL SEQUENCE (2004, background): “While the definition of M̂(x) based on the equivalence relation ∼ is new, the space of all geometric, possibly broken, flow lines ending in points of L and originating in x ∈ Crit(f) has appeared before in the Morse theoretic literature, for example, in [16][17].”
The periodic Floer homology of a Dehn twist. (2004, methodology): “This conjecture is known to hold at the level of Euler characteristics as a consequence of Taubes’s theorem applied to S1 × Yφ , see [10].”