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arxiv: 1606.05327 · v1 · submitted 2016-06-16 · 🧮 math.SG

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Floer homology of Lagrangians in clean intersection

Felix Schm\"aschke
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classification 🧮 math.SG
keywords floerhomologylagrangianssequencesspectralassociatedassumptionclean
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We consider Floer homology associated to a pair of closed Lagrangian submanifolds that satisfy a monotonicty assumption. If the Lagrangians intersect cleanly we decribe two spectral sequences which help to compute their Floer homology. The spectral sequences are constructed using a Morse-Bott version of Floer homology. We give a full treatment of the theory including orientations.

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    math.SG 2026-04 unverdicted novelty 7.0

    A sum-over-tropical-graphs calculus counts holomorphic disks in almost toric manifolds and realizes every integer eigenvalue of non-maximal modulus for quantum multiplication by the first Chern class via spheres.