Geunyoung Kim

collaborators

3 papers

math.GT2026

An algorithm for Seifert surfaces in 3-manifolds via surgery presentations

Geunyoung Kim

The classical Seifert algorithm provides an explicit construction of a Seifert surface for any link in $S^{3}$ . Alegria and Menasco extended this construction to integral homology $3…

math.GT2025

Heegaard diagrams for $5$ -manifolds

Geunyoung Kim

We introduce a version of Heegaard diagrams for $5$ -dimensional cobordisms with $2$ - and $3$ -handles, $5$ -dimensional $3$ -handlebodies, and closed $5$ -manifolds. We show that every…

math.GT2025

A note on some high-dimensional handlebodies

Geunyoung Kim

For $k \geq 0$ and $n \geq 2 k + 1$ , we show that every $n$ -dimensional $k$ -handlebody is the product of a $2 k$ -dimensional $k$ -handlebody and the standard $(n - 2 k)$ -ball. For $k \geq…

An algorithm for Seifert surfaces in 3-manifolds via surgery presentations

Heegaard diagrams for 5-manifolds

A note on some high-dimensional handlebodies

Heegaard diagrams for $5$ -manifolds