359 citations · 1k across the 45 of their papers we have counts for
48 papers
The Giroux correspondence in arbitrary dimensions
Joseph Breen, Ko Honda, Yang Huang
We establish the Giroux correspondence in arbitrary dimensions. As corollaries we (i) give an alternate proof of a result of Giroux-Pardon that states that any Weinstein domain is…
Higher-dimensional Heegaard Floer homology and Hecke algebras
Ko Honda, Yin Tian, Tianyu Yuan
Given a closed oriented surface of genus greater than 0, we construct a map from the higher-dimensional Heegaard Floer homology of the cotangent fibers of …
Applications of higher-dimensional Heegaard Floer homology to contact topology
Vincent Colin, Ko Honda, Yin Tian
The goal of this paper is to set up the general framework of higher-dimensional Heegaard Floer homology, define the contact class, and use it to give an obstruction to the Liouvill…
An exposition of the equivalence of Heegaard Floer homology and embedded contact homology
Paolo Ghiggini, Vincent Colin, Ko Honda
This article is a survey on the authors' proof of the isomorphism between Heegaard Floer homology and embedded contact homology appeared in This article is a survey on the authors'…
Convex hypersurface theory in contact topology
Joseph Breen, Austin Christian, Ko Honda +1
We lay the foundations of convex hypersurface theory in contact topology, extending the work of Giroux in dimension three. Specifically, we prove that any closed hypersurface in a…
Equivariant Lagrangian Floer cohomology via semi-global Kuranishi structures
Erkao Bao, Ko Honda
Using a simplified version of Kuranishi perturbation theory that we call semi-global Kuranishi structures, we give a definition of the equivariant Lagrangian Floer cohomology of a…