Ko Honda

collaborators

3 papers

math.SG2026

Higher-dimensional Heegaard Floer homology and spectral networks

Ko Honda, Yin Tian, Tianyu Yuan

Given a closed surface $C$ and a real exact Lagrangian $Σ \subset T^{*} C$ associated to a spectral curve, we construct a homomorphism $\operatorname{BSk}_κ(C)\to\operatorname{Mat}(N^κ…

math.SG2025

Towards a symplectic Khovanov homology for links in fibered $3$ -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 $3$ -manifold $M$ (with an auxiliary choice of a homotopy…

math.SG2025

Morse theory of loop spaces and Hecke algebras

Ko Honda, Roman Krutowski, Yin Tian +1

Given a smooth closed $n$ -manifold $M$ and a $κ$ -tuple of basepoints $q \subset M$ , we define a Morse-type $A_{\infty}$ -algebra $C M_{-*} (Ω (M, q))$ , called the…

Higher-dimensional Heegaard Floer homology and spectral networks

Towards a symplectic Khovanov homology for links in fibered 3-manifolds

Morse theory of loop spaces and Hecke algebras

Towards a symplectic Khovanov homology for links in fibered $3$ -manifolds