Search Results for author: Minkyoung Song

Found 2 papers, 0 papers with code

Non-slice 3-stranded pretzel knots

no code implementations4 Jan 2021 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 $P(a,-a-2,-\frac{(a+1)^2}{2})$ where $a$ is an odd integer greater than $1$.

Geometric Topology 57K10, 57K31, 57K40, 57N70

Homology cobordism group of homology cylinders and invariants related to lower central series

no code implementations24 Dec 2020 Minkyoung Song

We consider extensions of Johnson homomorphisms of a mapping class group, Milnor invariants and Orr invariants of links to homology cylinders, all of which are related to free nilpotent groups.

Geometric Topology 57K31 (Primary), 57N70, 57K35 (Secondary)

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