3 papers
math.GT2021
Non-slice 3-stranded pretzel knots
Min Hoon Kim, Changhee Lee, Minkyoung Song
Greene-Jabuka and Lecuona confirmed the slice-ribbon conjecture for 3-stranded pretzel knots except for an infinite family where is an odd intege…
math.GT2020
Homology cobordism group of homology cylinders and invariants related to lower central series
Minkyoung Song
The homology cobordism group of homology cylinders is a generalization of both the mapping class group of surfaces and the string link concordance group. We consider extensions of…
math.GT2018
Lower central subgroups of a free group and its subgroup
Minkyoung Song
For a given free group of arbitrary rank (possibly infinite), and its subgroup , we address the question whether a lower central subgroup of can contain a lower central…