Floer Cohomology and Geometric Composition of Lagrangian Correspondences

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Katrin Wehrheim , Chris T. Woodward This is my paper · ORCID

classification math.SGmath.AP

keywords compositioncorrespondencesfloergeometriclagrangiancohomologiescohomologyexact

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We prove an isomorphism of Floer cohomologies under geometric composition of Lagrangian correspondences in exact and monotone settings.

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The instanton homology of the $(-2,3,q)$ pretzel knots and computed bounding cochains in the pillowcase
math.GT 2026-07 conditional novelty 7.0 of 10

For every odd q≥3, the reduced singular instanton knot homology of P(-2,3,q) has rank q+2, and explicit pillowcase bounding cochains are computed that cancel or create one differential to match this rank.