47 citations · 214 across the 26 of their papers we have counts for
35 papers
Link Floer homology, nonformality, and the Borromean rings
Kristen Hendricks, Matthew Stoffregen, Ian Zemke
Our main result is a computation of the full link Floer complex of the Borromean rings. The Borromean rings are well known to be an L-space link. We prove that the full link Floer…
The link surgery formula and equivariant surgeries
Kristen Hendricks, Abhishek Mallick, Matthew Stoffregen +1
We prove an equivariant version of the Heegaard Floer link surgery formula. As a special case, this gives an equivariant knot surgery formula for equivariant knots in . Our pr…
Koszul duality and the link surgery formula
Ian Zemke
In previous works, the author described an associative algebra whose -module categories encode the Heegaard Floer Dehn surgery formulas. In this article, we describe the…
A note on the involutive invariants of splices
Kristen Hendricks, Matthew Stoffregen, Ian Zemke
A natural family of potentially 2-torsion elements in the integer homology cobordism group consists of splices of knots with their mirrors. We show that such 3-manifolds have local…
Gompf's cork and Heegaard Floer homology
Irving Dai, Abhishek Mallick, Ian Zemke
Gompf showed that for in a certain family of double-twist knots, the swallow-follow operation makes -surgery on into a cork boundary. We derive a general Floer-t…
A general Heegaard Floer surgery formula
Ian Zemke
We give several new perspectives on the Heegaard Floer Dehn surgery formulas of Manolescu, Ozsváth and Szabó. Our main result is a new exact triangle in the Fukaya category of the…
Connected sums and directed systems in knot Floer homologies
Sudipta Ghosh, Ian Zemke
We prove a number of fundamental properties about instanton knot Floer homology. Our arguments rely on general properties of sutured Floer theories and apply also in the Heegaard F…
Lattice homology, formality, and plumbed L-space links
Maciej Borodzik, Beibei Liu, Ian Zemke
We define a link lattice complex for plumbed links, generalizing constructions of Ozsváth, Stipsicz and Szabó, and of Gorsky and Némethi. We prove that for all plumbed links in rat…
An involutive dual knot surgery formula
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We prove an involutive analog of the dual knot surgery formula of Eftekhary and Hedden-Levine. We also compute a small model for the local equivalence class of the involutive dual…
Naturality and functoriality in involutive Heegaard Floer homology
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We prove first-order naturality of involutive Heegaard Floer homology, and furthermore construct well-defined maps on involutive Heegaard Floer homology associated to cobordisms be…
The equivalence of lattice and Heegaard Floer homology
Ian Zemke
We prove Némethi's conjecture: if is a 3-manifold which is the boundary of a plumbing of a tree of disk bundles over , then the lattice homology of coincides with the…
Bordered manifolds with torus boundary and the link surgery formula
Ian Zemke
In this paper, we develop a theory of bordered using the link surgery formula of Manolescu and Ozsváth. We interpret their link surgery complexes as type- module…
A note on PL-disks and rationally slice knots
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We give infinitely many examples of manifold-knot pairs (Y, J) such that Y bounds an integer homology ball, J does not bound a non-locally-flat PL-disk in any integer homology ball…
Heegaard Floer homology and plane curves with non-cuspidal singularities
Maciej Borodzik, Beibei Liu, Ian Zemke
We study possible configurations of singular points occuring on general algebraic curves in via Floer theory. To achieve this, we describe a general formula for the…
On the quotient of the homology cobordism group by Seifert spaces
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We prove that the quotient of the integer homology cobordism group by the subgroup generated by the Seifert fibered spaces is infinitely generated.
Surgery exact triangles in involutive Heegaard Floer homology
Kristen Hendricks, Jennifer Hom, Matthew Stoffregen +1
We establish a surgery exact triangle for involutive Heegaard Floer homology by using a doubling model of the involution. We use this exact triangle to give an involutive version o…
New Heegaard Floer slice genus and clasp number bounds
András Juhász, Ian Zemke
We define several concordance invariants using knot Floer homology which give improvements over known slice genus and clasp number bounds from Heegaard Floer homology. We also prov…
Transverse invariants and exotic surfaces in the 4-ball
András Juhász, Maggie Miller, Ian Zemke
Using 1-twist rim surgery, we construct infinitely many smoothly embedded, orientable surfaces in the 4-ball bounding a knot in the 3-sphere that are pairwise topologically isotopi…
Knot cobordisms, bridge index, and torsion in Floer homology
András Juhász, Maggie Miller, Ian Zemke
Given a connected cobordism between two knots in the 3-sphere, our main result is an inequality involving torsion orders of the knot Floer homology of the knots, and the number of…
Knot Floer homology and strongly homotopy-ribbon concordances
Maggie Miller, Ian Zemke
We prove that the map on knot Floer homology induced by a strongly homotopy-ribbon concordance is injective.
Khovanov homology and ribbon concordance
Adam Simon Levine, Ian Zemke
We show that a ribbon concordance between two links induces an injective map on Khovanov homology.
Knot Floer homology obstructs ribbon concordance
Ian Zemke
We prove that the map on knot Floer homology induced by a ribbon concordance is injective. As a consequence, we prove that the Seifert genus is monotonic under ribbon concordance.…
Stabilization distance bounds from link Floer homology
András Juhász, Ian Zemke
We consider the set of connected surfaces in the 4-ball with boundary a fixed knot in the 3-sphere. We define the stabilization distance between two surfaces as the minimal suc…
Distinguishing slice disks using knot Floer homology
András Juhász, Ian Zemke
We study the classification of slice disks of knots up to isotopy and diffeomorphism using an invariant in knot Floer homology. We compute the invariant of a slice disk obtained by…