3 papers
math.SG2024
Topological Fukaya category of tagged arcs
Cheol-Hyun Cho, Kyoungmo Kim
A tagged arc on a surface is introduced by Fomin, Shapiro, and Thurston to study cluster theory on marked surfaces. Given a tagged arc system on a graded marked surface, we define…
math.SG2022
Homological mirror symmetry of indecomposable Cohen-Macaulay modules for some degenerate cusp singularities
Cheol-Hyun Cho, Wonbo Jeong, Kyoungmo Kim +1
Burban-Drozd showed that the degenerate cusp singularities have tame Cohen-Macaulay representation type, and classified all indecomposable Cohen-Macaulay modules over them. One of…
math.CO2018
Homfly polynomials for periodic knots via state model
Joonoh Kim, Kyoung-Tark Kim
We give criteria for oriented links to be periodic of prime order using the quantum -invariant. The criteria are based upon an observation on the linking number bet…