Homotopy equivalence of nearby Lagrangians and the Serre spectral sequence

DOI10.1007/s00208-016-1447-5zbMath1377.53100arXiv1505.07359OpenAlexW1763812787WikidataQ59611065 ScholiaQ59611065MaRDI QIDQ2402829

Thomas Kragh

Publication date: 15 September 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.07359

zbMATH Keywords

spectral sequencePoincaré dualityMorse homologyMaslov classaction filtrationLagrangian intersection Floer homology

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Symplectic aspects of Floer homology and cohomology (53D40) Serre spectral sequences (55T10)

Related Items (1)

Monotone Lagrangians in of minimal Maslov number n + 1

Cites Work

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• Floer homology on the universal cover, Audin's conjecture and other constraints on Lagrangian submanifolds
• Fukaya categories and Picard-Lefschetz theory
• Microlocal branes are constructible sheaves
• Pseudo holomorphic curves in symplectic manifolds
• Morse theory for Lagrangian intersections
• Coherent orientations for periodic orbit problems in symplectic geometry
• Nearby Lagrangians with vanishing Maslov class are homotopy equivalent
• Parametrized ring-spectra and the nearby Lagrangian conjecture
• Exact Lagrangian submanifolds in simply-connected cotangent bundles
• On the immersion classes of nearby Lagrangians: Table 1.
• The Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint
• Graded lagrangian submanifolds

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