Floer homology and covering spaces

DOI10.2140/gt.2018.22.2817zbMath1395.57041arXiv1603.00584OpenAlexW2964287641MaRDI QIDQ1637311

Ciprian Manolescu, Tye Lidman

Publication date: 8 June 2018

Published in: Geometry \& Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.00584

zbMATH Keywords

Heegaard Floer homologySeiberg-Witten\(L\)-spacesSmith inequalityvirtually cosmetic

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Floer homology (57R58) Group actions on manifolds and cell complexes in low dimensions (57M60)

Related Items

Rank inequalities for the Heegaard Floer homology of branched covers, Rank inequalities for the Heegaard Floer homology of Seifert homology spheres, The Conley index, gauge theory, and triangulations, Equivariant Seiberg-Witten-Floer cohomology, Seiberg-Witten Floer spectra and contact structures, Khovanov homotopy type, periodic links and localizations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Noncommutative Hodge-to-de Rham spectral sequence and the Heegaard Floer homology of double covers
• Pretzel knots with \(L\)-space surgeries
• The virtual Haken conjecture (with an appendix by Ian Agol, Daniel Groves and Jason Manning).
• Cosmetic surgeries on knots in \(S^3\)
• Foliations, orders, representations, L-spaces and graph manifolds
• On the Heegaard Floer homology of branched double-covers
• Localization for involutions in Floer cohomology
• Knot Floer homology and rational surgeries
• A note on cabling and \(L\)-space surgeries
• Embedded contact homology and Seiberg-Witten Floer cohomology. I.
• Embedded contact homology and Seiberg-Witten Floer cohomology. II.
• Embedded contact homology and Seiberg-Witten Floer cohomology. III.
• Embedded contact homology and Seiberg-Witten Floer cohomology. IV.
• Embedded contact homology and Seiberg-Witten Floer cohomology. V.
• A link surgery spectral sequence in monopole Floer homology
• Ozsváth-Szabó invariants and tight contact 3-manifolds, III
• Volumes of hyperbolic three-manifolds
• Seiberg-Witten Floer stable homotopy type of three-manifolds with \(b_1=0\)
• Montesinos knots, Hopf plumbings, and L-space surgeries
• Holomorphic disks and topological invariants for closed three-manifolds
• Holomorphic disks and three-manifold invariants: properties and applications
• Orderable 3-manifold groups.
• Holomorphic disks and genus bounds
• A rank inequality for the knot Floer homology of double branched covers
• On L-spaces and left-orderable fundamental groups
• On the Heegaard Floer homology of a surface times a circle
• Knot Floer homology and integer surgeries
• Elementary surgery along a torus knot
• On knot Floer homology and lens space surgeries
• Monopoles and lens space surgeries
• Heegaard Floer groups of Dehn surgeries
• A refinement of the Conley index and an application to the stability of hyperbolic invariant sets
• On Periodic Maps and the Euler Characteristics of Associated Spaces