57 citations · 146 across the 19 of their papers we have counts for
5 papers · 1 filter
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…
An example of higher-dimensional Heegaard Floer homology
Yin Tian, Tianyu Yuan
We count pseudoholomorphic curves in the higher-dimensional Heegaard Floer homology of disjoint cotangent fibers of a two dimensional disk. We show that the resulting algebra is 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…
Contact categories of disks
Ko Honda, Yin Tian
In the first part of the paper we associate a pre-additive category to a closed oriented surface , called the {\em contact category} and constructed from contac…