On the Floer homology of plumbed three-manifolds

Abstract

We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also these groups for other three-manifolds, including the product of a circle with a genus two surface.

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol7/paper5.abs.html

References in corpus (2)

• Holomorphic disks and three-manifold invariants: properties and applications
• An inequality for the h-invariant in instanton Floer theory

Cited by in corpus (115)

• Knot Floer homology and rational surgeries
• Fivebranes and 3-manifold homology
• On the Ozsvath-Szabo invariant of negative definite plumbed 3-manifolds
• Ozsvath-Szabo invariants and tight contact three-manifolds, I
• Floer Simple Manifolds and L-Space Intervals
• Heegaard Floer homology and genus one, one boundary component open books
• A spanning tree model for the Heegaard Floer homology of a branched double-cover
• On the existence of tight contact structures on Seifert fibered 3-manifolds
• Product Formulae for Ozsvath-Szabo 4-manifold Invariants
• Cosmetic surgeries on knots in $S^3$
• Ehrhart theory of polytopes and Seiberg-Witten invariants of plumbed 3-manifolds
• Concordance groups of links
• Non-orientable surfaces in homology cobordisms
• $L$-space surgeries on links
• Pin(2)-equivariant Seiberg-Witten Floer homology of Seifert fibrations
• Monopoles and lens space surgeries
• Lattice cohomology and Seiberg-Witten invariants of normal surface singularities
• On the Frøyshov invariant and monopole Lefschetz number
• On the slice-ribbon conjecture for pretzel knots
• Surgery obstructions and Heegaard Floer homology
• Cosmetic surgeries on genus one knots
• Dehn surgeries and rational homology balls
• Manolescu Invariants of Connected Sums
• Cobordism invariants from BPS q-series
• Bordered Heegaard Floer homology and graph manifolds
• Calculating Heegaard-Floer Homology by Counting Lattice Points in Tetrahedra
• Combinatorial computation of the motivic Poincare series
• Surgery formula for Seiberg--Witten invariants of negative definite plumbed 3-manifolds
• Line bundles associated with normal surface singularities
• Immersed disks, slicing numbers and concordance unknotting numbers
• A calculus for bordered Floer homology
• A surgery triangle for lattice cohomology
• Knot Floer homology, genus bounds, and mutation
• Finite knot surgeries and Heegaard Floer homology
• Mapping cone formula in Heegaard Floer homology and Dehn surgery on knots in $S^3$
• q,t-Catalan numbers and knot homology
• On closed 3-braids with unknotting number one
• A concordance invariant from the Floer homology of double branched covers
• Infinitely many universally tight contact manifolds with trivial Ozsvath-Szabo contact invariants
• Seifert fibered homology spheres with trivial Heegaard Floer homology
• Rational homology spheres and four-ball genus
• On homology cobordism and local equivalence between plumbed manifolds
• A survey of the homology cobordism group
• Classification of tight contact structures on small Seifert fibered L-spaces
• Equivariant Seiberg-Witten-Floer cohomology
• Slice Implies Mutant Ribbon for Odd, 5-Stranded Pretzel Knots
• Instanton Floer homology of almost-rational plumbings
• The slice-ribbon conjecture for 3-stranded pretzel knots
• Almost simple linear graphs, homology cobordism and connected Heegaard Floer homology
• Contact Structures on Plumbed 3-Manifolds
• Surgeries, sharp 4-manifolds and the Alexander polynomial
• Involutive Heegaard Floer homology and plumbed three-manifolds
• Knot Floer homology and integer surgeries
• Heegaard Floer homology and knots determined by their complements
• A note on concordance properties of fibers in Seifert homology spheres
• Link Floer homology and the Thurston norm
• Exceptional Cosmetic surgeries on $S^3$
• Knot lattice homology in L-spaces
• On the Heegaard Floer homology of a surface times a circle
• Knot Floer homology of (1,1)-knots
• Surgeries on torus knots, rational balls, and cabling
• Unknotting information from Heegaard Floer homology
• Lattice cohomology of normal surface singularities
• Thin links and Conway spheres
• Knots in lattice homology
• On contact type hypersurfaces in 4-space
• On sums of torus knots concordant to alternating knots
• Heegaard Floer homology of Some Mazur Type Manifolds
• On the Heegaard Floer homology of branched double-covers
• Calculation of Heegard Floer homology for a class of Brieskorn spheres
• Knots with unknotting number one and Heegaard Floer homology
• An involution acting nontrivially on Heegard-Floer homology
• Heegaard-Floer Homology and a family of Brieskorn spheres
• On mapping cones of Seifert fibered surgeries
• Non-normal affine monoids, modules and Poincaré series of plumbed 3-manifolds
• The prism manifold realization problem
• Untwisting information from Heegaard Floer homology
• Homologically thin, non-quasi-alternating links
• Ozsvath-Szabo $d$-invariants of almost simple linear graphs
• On the twisted Floer homology of mapping tori of periodic diffeomorphisms
• Concordance invariants from higher order covers
• Heegaard Floer homologies for (+1) surgeries on torus knots
• Monopoles, twisted integral homology, and Hirsch algebras
• Homology concordance and knot Floer homology
• Brieskorn spheres, cyclic group actions and the Milnor conjecture
• Contact Ozsvath-Szabo Invariants and Giroux Torsion
• On Heegaard Floer homology of plumbed three-manifolds with b_1=1
• Symplectic rational blow-down along Seifert fibered 3-manifolds
• Contact Structures on AR-singularity links
• Connected Heegaard Floer homology of sums of Seifert fibrations
• Unexpected Stein fillings, rational surface singularities, and plane curve arrangements
• On the Pin(2)-equivariant monopole Floer homology of plumbed 3-manifolds
• Rational blow-downs in Heegaard-Floer homology
• Patterns in the Lattice Homology of Seifert Homology Spheres
• Seiberg-Witten Floer homotopy contact invariant
• Deformations of lattice cohomology and the upsilon invariant
• On slicing invariants of knots
• A monopole invariant for families of contact structures
• On knots with infinite smooth concordance order
• Reduction theorem for lattice cohomology
• Analytic lattice cohomology of surface singularities
• Studies of distance one surgeries on the lens space $L(p,1)$
• A gluing theorem for the relative Bauer-Furuta invariants
• Surgery diagrams for horizontal contact structures
• Distance one surgeries on the lens space $L(n,1)$
• Tight contact structures on some small Seifert fibered 3--manifolds
• The analytic lattice cohomology of isolated singularities
• On the involutive Heegaard Floer homology of negative semi-definite plumbed 3-manifolds with $b_1=1$
• On the mu-bar invariant of rational surface singularities
• The realization problem for non-integer Seifert fibered surgeries
• Some non-trivial examples of the Baldwin-Ozsváth-Szabó twisted spectral sequence and Heegaard-Floer homology of branched double covers
• On homology planes and contractible $4$-manifolds
• Cables of the figure-eight knot via real Frøyshov invariants
• Positive scalar curvature and homology cobordism invariants
• Rank inequalities for the Heegaard Floer homology of Seifert homology spheres