21 citations · 37 across the 11 of their papers we have counts for
12 papers
Khovanov homology and the Involutive Heegaard Floer homology of branched double covers
Akram Alishahi, Linh Truong, Melissa Zhang
We use involutive Heegaard Floer homology to extend the Ozsváth-Szabó branched double cover spectral sequence relating a version of Khovanov homology and the Heegaard Floer homolog…
A note on knot Floer thickness and the dealternating number
Linh Truong
In this note, we give a short proof that knot Floer thickness is a lower bound on the dealternating number of a knot. The result is originally due to work of Abe and Kishimoto, Low…
Homology concordance and knot Floer homology
Irving Dai, Jennifer Hom, Matthew Stoffregen +1
We study the homology concordance group of knots in integer homology three-spheres which bound integer homology four-balls. Using knot Floer homology, we construct an infinite numb…
A combinatorial description of the LOSS Legendrian knot invariant
Dongtai He, Linh Truong
In this note, we observe that the hat version of the Heegaard Floer invariant of Legendrian knots in contact three-manifolds defined by Lisca-Ozsvath-Stipsicz-Szabo can be combinat…
Comparing Bennequin-type inequalities
Elaina Aceves, Keiko Kawamuro, Linh Truong
The slice-Bennequin inequality states an upper bound for the self-linking number of a knot in terms of its four-ball genus. The -Bennequin and -Bennequin inequalities provide…
Braids, fibered knots, and concordance questions
Diana Hubbard, Keiko Kawamuro, Feride Ceren Kose +5
Given a knot in , one can associate to it a surface diffeomorphism in two different ways. First, an arbitrary knot in can be represented by braids, which can be though…
On the Upsilon invariant of fibered knots and right-veering open books
Dongtai He, Diana Hubbard, Linh Truong
We give a sufficient condition using the Ozsváth-Stipsicz-Szabó concordance invariant Upsilon for the monodromy of the open book decomposition of a fibered knot to be right-veering…
Annular link invariants from the Sarkar-Seed-Szabó spectral sequence
Linh Truong, Melissa Zhang
For a link in a thickened annulus , we define a filtration on Sarkar-Seed-Szabó's perturbation of the geometric spectra…
A refinement of the Ozsváth-Szabó large integer surgery formula and knot concordance
Linh Truong
We compute the knot Floer filtration induced by a cable of the meridian of a knot in the manifold obtained by large integer surgery along the knot. We give a formula in terms of th…
More concordance homomorphisms from knot Floer homology
Irving Dai, Jennifer Hom, Matthew Stoffregen +1
We define an infinite family of linearly independent, integer-valued smooth concordance homomorphisms. Our homomorphisms are explicitly computable and rely on local equivalence cla…
An infinite-rank summand of the homology cobordism group
Irving Dai, Jennifer Hom, Matthew Stoffregen +1
We show that the three-dimensional homology cobordism group admits an infinite-rank summand. It was previously known that the homology cobordism group contains a $\mathbb{Z}^\infty…
Truncated Heegaard Floer Homology and Knot Concordance Invariants
Linh Truong
In this paper we construct a sequence of integer-valued concordance invariants that generalize the Ozsváth-Szabó -invariant and the Hom-Wu -invariant.