Floer homology and its continuity for non-compact Lagrangian submanifolds

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dc.creatorOh, Yong-Geun
dc.date2000-11-16
dc.date.accessioned2026-07-25T23:00:34Z
dc.descriptionWe give a construction of the Floer homology of the pair of {\it non-compact} Lagrangian submanifolds, which satisfies natural continuity property under the Hamiltonian isotopy which moves the infinity but leaves the intersection set of the pair compact. This construction uses the concept of Lagrangian cobordism and certain singular Lagrangian submanifolds. We apply this construction to conormal bundles (or varieties) in the cotangent bundle, and relate it to a conjecture made by MacPherson on the intersection theory of the characteristic Lagrangian cycles associated to the perverse sheaves constructible to a complex stratification on the complex algebraic manifold.
dc.descriptionSubmitted to the Proceedings for 7th Gokova Geometry-Topology Conference
dc.identifierhttps://arxiv.org/abs/math/0011116
dc.identifierhttp://arxiv.org/abs/math/0011116
dc.identifierTurk. J. Math. 25 (2001) 103-124
dc.identifier.urihttps://dspace.dare.co.zw/handle/123456789/94621
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subject53D40, 57R58
dc.titleFloer homology and its continuity for non-compact Lagrangian submanifolds
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