47 citations · 47 across the 6 of their papers we have counts for
6 papers
Obstructions to smoothing orbicurves and Orbifold Hecke algebras
Ko Honda, Roman Krutowski, Yin Tian +1
In this paper, we study obstructions to smoothing nodal orbicurves with orbighosts mapped into cyclic quotient singularities. As an application, we show, under some assumptions, th…
Higher-dimensional Heegaard Floer homology and spectral networks
Ko Honda, Yin Tian, Tianyu Yuan
Given a closed surface and a real exact Lagrangian associated to a spectral curve, we construct a homomorphism $\operatorname{BSk}_κ(C)\to\operatorname{Mat}(N^κ…
Towards a symplectic Khovanov homology for links in fibered -manifolds
Vincent Colin, Ko Honda, Yin Tian
The goal of this paper is twofold: (i) define a symplectic Khovanov type homology for a transverse link in a fibered closed -manifold (with an auxiliary choice of a homotopy…
Morse theory of loop spaces and Hecke algebras
Ko Honda, Roman Krutowski, Yin Tian +1
Given a smooth closed -manifold and a -tuple of basepoints , we define a Morse-type -algebra , called the…
Sutured Heegaard Floer and embedded contact homologies are isomorphic
Vincent Colin, Paolo Ghiggini, Ko Honda
We prove the equivalence of the sutured versions of Heegaard Floer homology, monopole Floer homology, and embedded contact homology. As applications we show that the knot versions…
The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions II
Vincent Colin, Paolo Ghiggini, Ko Honda
This paper is the sequel to "The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions I" and is devoted to proving some of the technica…