6 citations · 19 across the 15 of their papers we have counts for
18 papers
The fundamental quandle of ribbon concordances
Eva Horvat, Luka Marčič
We describe the fundamental quandle of a properly embedded surface (possibly with boundary) in and derive its presentation in terms of its motion pictu…
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…
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…
Nonsmooth manifold decompositions
Eva Horvat
We study the structure induced on a smooth manifold by a continuous selection of smooth functions. In case such selection is suitably generic, it provides a stratification of the m…
Flattening knotted surfaces
Eva Horvat
A knotted surface in the 4-sphere may be described by means of a hyperbolic diagram that captures the 0-section of a special Morse function, called a hyperbolic decomposition. We s…
Knot quandle decomposition along a torus
Marco Bonatto, Alessia Cattabriga, Eva Horvat
We study the structure of the augmented fundamental quandle of a knot whose complement contains an incompressible torus. We obtain the relationship between the fundamental quandle…