activity
20092024
most citedOn the slice-ribbon conjecture for pretzel knots

17 citations · 61 across the 14 of their papers we have counts for

collaborators

14 papers

math.GT2024

Fibered ribbon pretzels

Ana G. Lecuona, Andy Wand

We classify fibered ribbon pretzel knots up to mutation. The classification is complete, except perhaps for members of Lecuona's ``exceptional'' family of [Lec15]. The result is ob…

math.GT2022★ 2 cited

Slope and concordance of links

Alex Degtyarev, Vincent Florens, Ana G. Lecuona

The slope is an isotopy invariant of colored links with a distinguished component, initially introduced by the authors to describe an extra correction term in the computation of th…

math.KT2020

Cohomology groups for spaces of 12-fold tilings

Nicolas Bedaride, Franz Gahler, Ana G. Lecuona

We consider tilings of the plane with 12-fold symmetry obtained by the cut and projection method. We compute their cohomology groups using the techniques introduced by the second a…

math.GT2020★ 5 cited

Surgeries on torus knots, rational balls, and cabling

Paolo Aceto, Marco Golla, Kyle Larson +1

We classify which positive integral surgeries on positive torus knots bound rational homology balls. Additionally, for a given knot K we consider which cables K(p,q) admit integral…

math.GT2020★ 3 cited

Slopes of links and signature formulas

Alex Degtyarev, Vincent Florens, Ana G. Lecuona

We present a new invariant, called slope, of a colored link in an integral homology sphere and use this invariant to complete the signature formula for the splice of two links. We…

math.GT2019★ 3 cited

Topologically flat embedded 2-spheres in specific simply connected 4-manifolds

Daniel Kasprowski, Peter Lambert-Cole, Markus Land +1

In this note we study whether specific elements in the second homology of specific simply connected closed -manifolds can be represented by smooth or topologically flat embedded…