3 papers
math.GT2026
The fundamental quandle of ribbon concordances
Eva Horvat, Luka MarÄiÄ
We describe the fundamental quandle of a properly embedded surface (possibly with boundary) in , and derive its presentation in terms of a motion pictu…
math.GT2025
On 4-dimensional 3-handle attachments
Eva Horvat, Michal Jablonowski
Kirby diagrams for smooth four-dimensional manifolds typically depict only the 1- and 2-handles, omitting the 3-handles. In this work, we investigate 3-handle attachments and provi…
math.GT2025
On discrete symmetries of the cube of smoothings
Eva Horvat
A link diagram with a labeled barycentric subdivision endows the cube of resolutions with an additional combinatorial structure. We study the set of symmetries, preserving this str…