L-spaces, taut foliations, and graph manifolds

DOI10.1112/S0010437X19007814zbMath1432.57032arXiv1508.05911OpenAlexW3101358116WikidataQ126304272 ScholiaQ126304272MaRDI QIDQ5212335

Jonathan Hanselman, Liam Watson, Sarah Dean Rasmussen, Jacob Rasmussen

Publication date: 28 January 2020

Published in: Compositio Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.05911

zbMATH Keywords

L-spacetaut foliationgraph manifoldHeegaard Floer invariants

Mathematics Subject Classification ID

Fundamental group, presentations, free differential calculus (57M05) Floer homology (57R58) Foliations in differential topology; geometric theory (57R30) Homology theories in knot theory (Khovanov, Heegaard-Floer, etc.) (57K18) General topology of 3-manifolds (57K30) Other geometric structures on 3-manifolds (57K35)

Related Items (17)

Surface Singularities, Seiberg–Witten Invariants of Their Links and Lattice Cohomology ⋮ Left orderability for surgeries on the [1,1,2,2,2j two-bridge knots] ⋮ Links of rational singularities, L-spaces and LO fundamental groups ⋮ Floer simple manifolds and L-space intervals ⋮ Bordered Floer homology and contact structures ⋮ Corrigendum to: ``Taut foliations, left-orderability, and cyclic branched covers ⋮ Heegaard Floer homology for manifolds with torus boundary: properties and examples ⋮ Surgery on links of linking number zero and the Heegaard Floer \(d\)-invariant ⋮ Floer homology of 3-manifolds with torus boundary ⋮ A calculus for bordered Floer homology ⋮ Bordered Floer homology for manifolds with torus boundary via immersed curves ⋮ Floer homology, group orderability, and taut foliations of hyperbolic 3-manifolds ⋮ L-space intervals for graph manifolds and cables ⋮ Mini-workshop: Interactions between low-dimensional topology and complex algebraic geometry. Abstracts from the mini-workshop held October 22--28, 2017 ⋮ The Seiberg-Witten equations and the length spectrum of hyperbolic three-manifolds ⋮ Surface singularities and planar contact structures ⋮ Taut foliations in branched cyclic covers and left-orderable groups

Cites Work

• Foliations, orders, representations, L-spaces and graph manifolds
• Bordered Heegaard Floer homology and graph manifolds
• Approximating \(C^{0}\)-foliations by contact structures
• Approximating \(C^{1,0}\)-foliations
• Ozsváth-Szabó invariants and tight contact 3-manifolds, III
• Monopoles and contact structures
• Floer simple manifolds and L-space intervals
• Orderable 3-manifold groups.
• Holomorphic disks and genus bounds
• On L-spaces and left-orderable fundamental groups
• \(C^0\) approximations of foliations
• L-space intervals for graph manifolds and cables
• Bordered Heegaard Floer homology
• Foliations and the topology of 3-manifolds
• A calculus for bordered Floer homology

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