19 citations · 74 across the 12 of their papers we have counts for
14 papers · 1 filter
A curve-based survey of knot Floer homology and concordance invariants
Jonathan Hanselman
Knot Floer homology associates to a knot in a bigraded chain complex over , from which many classical and concordance invariants can be extracted. Recent wor…
Ribbon concordance and fibered predecessors, II: the general case
John A. Baldwin, Jonathan Hanselman, Steven Sivek
The first and third authors recently proved that for each knot there are only finitely many hyperbolic fibered knots which are ribbon concordant to . In this pape…
Correction terms of double branched covers and symmetries of immersed curves
Jonathan Hanselman, Marco Marengon, Biji Wong
We use the immersed curves description of bordered Floer homology to study -invariants of double branched covers of arborescent links . We define a new i…
Satellite knots and immersed Heegaard Floer homology
Wenzhao Chen, Jonathan Hanselman
We describe a new method for computing the knot Floer complex of a satellite knot given the knot Floer complex for the companion and a doubly pointed bordered Hee…
Knot Floer homology as immersed curves
Jonathan Hanselman
To a nullhomologous knot in a 3-manifold , knot Floer homology associates a bigraded chain complex over as well as a collection of flip maps; we show that…
Cabling in terms of immersed curves
Jonathan Hanselman, Liam Watson
In joint work with J. Rasmussen, we gave an interpretation of Heegaard Floer homology for manifolds with torus boundary in terms of immersed curves in a punctured torus. In particu…
Heegaard Floer homology and cosmetic surgeries in
Jonathan Hanselman
If a knot in admits a pair of truly cosmetic surgeries, we show that the surgery slopes are either or for some value of that is explicitly determine…
Heegaard Floer homology for manifolds with torus boundary: properties and examples
Jonathan Hanselman, Jacob Rasmussen, Liam Watson
This is a companion paper to earlier work of the authors, which interprets the Heegaard Floer homology for a manifold with torus boundary in terms of immersed curves in a punctured…
Bordered Floer homology for manifolds with torus boundary via immersed curves
Jonathan Hanselman, Jacob Rasmussen, Liam Watson
This paper gives a geometric interpretation of bordered Heegaard Floer homology for manifolds with torus boundary. If is such a manifold, we show that the type D structure $\wi…
A calculus for bordered Floer homology
Jonathan Hanselman, Liam Watson
We consider a class of manifolds with torus boundary admitting bordered Heegaard Floer homology of a particularly simple form, namely, the type D structure may be described graphic…
L-spaces, taut foliations, and graph manifolds
Jonathan Hanselman, Jacob Rasmussen, Sarah Dean Rasmussen +1
If is a closed orientable graph manifold, we show that admits a coorientable taut foliation if and only if is not an L-space. Combined with previous work of Boyer and C…
A remark on the geography problem in Heegaard Floer homology
Jonathan Hanselman, Cagatay Kutluhan, Tye Lidman
We give new obstructions to the module structures arising in Heegaard Floer homology. As a corollary, we characterize the possible modules arising as the Heegaard Floer homology of…
Splicing integer framed knot complements and bordered Heegaard Floer homology
Jonathan Hanselman
We consider the following question: when is the manifold obtained by gluing together two knot complements an -space? Hedden and Levine proved that splicing 0-framed complements…
Bordered Heegaard Floer homology and graph manifolds
Jonathan Hanselman
We perform two explicit computations of bordered Heegaard Floer invariants. The first is the type D trimodule associated to the trivial S^1 bundle over the pair of pants P. The sec…