64 citations · 152 across the 20 of their papers we have counts for
23 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…
A note on cables and the involutive concordance invariants
Kristen Hendricks, Abhishek Mallick
We prove a formula for the involutive concordance invariants of the cabled knots in terms of that of the companion knot and the pattern knot. As a consequence, we show that any ite…
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…
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…
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…
A note on the involutive invariants of certain pretzel knots
Kristen Hendricks, Matthew Issac, Nicholas McConnell
We compute the involutive knot invariants for pretzel knots of the form P(-2,m,n) for m and n odd and greater than or equal to 3.
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.
Bordered Floer homology and contact structures
Akram Alishahi, Viktória Földvári, Kristen Hendricks +3
We introduce a contact invariant in the bordered sutured Heegaard Floer homology of a three-manifold with boundary. The input for the invariant is a contact manifold $(M, ξ, \mathc…
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…
Rank inequalities for the Heegaard Floer homology of branched covers
Kristen Hendricks, Tye Lidman, Robert Lipshitz
Given a double cover between 3-manifolds branched along a nullhomologous link, we establish an inequality between the dimensions of their Heegaard Floer homologies. We discuss the…
Correction to the paper "A flexible construction of equivariant Floer homology and applications"
Kristen Hendricks, Robert Lipshitz, Sucharit Sarkar
We correct a mistake regarding almost complex structures on Hilbert schemes of points in surfaces in arXiv:1510.02449. The error does not affect the main results of the paper, and…
Applications of involutive Heegaard Floer homology
Kristen Hendricks, Jennifer Hom, Tye Lidman
We use Heegaard Floer homology to define an invariant of homology cobordism. This invariant is isomorphic to a summand of the reduced Heegaard Floer homology of a rational homology…
A note on knot concordance and involutive knot Floer homology
Kristen Hendricks, Jennifer Hom
We prove that if two knots are concordant, their involutive knot Floer complexes satisfy a certain type of stable equivalence.
Involutive bordered Floer homology
Kristen Hendricks, Robert Lipshitz
We give a bordered extension of involutive HF-hat and use it to give an algorithm to compute involutive HF-hat for general 3-manifolds. We also explain how the mapping class group…
A simplicial construction of G-equivariant Floer homology
Kristen Hendricks, Robert Lipshitz, Sucharit Sarkar
For G a Lie group acting on a symplectic manifold preserving a pair of Lagrangians , , under certain hypotheses not including equivariant transversality we constr…
A connected sum formula for involutive Heegaard Floer homology
Kristen Hendricks, Ciprian Manolescu, Ian Zemke
We prove a connected sum formula for involutive Heegaard Floer homology, and use it to study the involutive correction terms of connected sums. In particular, we give an example of…
A flexible construction of equivariant Floer homology and applications
Kristen Hendricks, Robert Lipshitz, Sucharit Sarkar
Seidel-Smith and Hendricks used equivariant Floer cohomology to define some spectral sequences from symplectic Khovanov homology and Heegaard Floer homology. These spectral sequenc…
Involutive Heegaard Floer homology
Kristen Hendricks, Ciprian Manolescu
Using the conjugation symmetry on Heegaard Floer complexes, we define a three-manifold invariant called involutive Heegaard Floer homology, which is meant to correspond to $\mathbb…
A spectral sequence of the Floer cohomology of symplectomorphisms of trivial polarization class
Kristen Hendricks
Let be an exact symplectic manifold equal to a symplectization near infinity and having stably trivializable tangent bundle, and be an exact symplectomorphism of which,…
Localization and the link Floer homology of doubly-periodic knots
Kristen Hendricks
A knot \widetilde{K} \subset S^3 is q-periodic if there is a \mathbb Z_q-action preserving \widetilde{K} whose fixed set is an unknot U. The quotient of \widetilde{K} under the act…
A rank inequality for the knot Floer homology of double branched covers
Kristen Hendricks
Given a knot K in S^3, let Σ(K) be the double branched cover of S^3 over K. We show there is a spectral sequence whose E^1 page is (\hat{HFK}(Σ(K), K) \otimes V^{n-1}) \otimes \mat…