1 citations · 1 across the 3 of their papers we have counts for
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An exploration of low crossing and chiral cosmetic bands with grid diagrams
Agnese Barbensi, Daniele Celoria, Christopher Ktenidis +3
We computationally explore non-coherent band attachments between low crossing number knots, using grid diagrams. We significantly improve the current H(2)-distance table. In partic…
From the Mayer-Vietoris spectral sequence to überhomology
Luigi Caputi, Daniele Celoria, Carlo Collari
We prove that the second page of the Mayer-Vietoris spectral sequence, with respect to anti-star covers, can be identified with another homological invariant of simplicial complexe…
Knot intensity distribution: a local measure of entanglement
Agnese Barbensi, Daniele Celoria
The problem of finding robust and effective methods for locating entanglement in embedded curves is relevant to both applications and theoretical investigations. Rather than focusi…
A statistical approach to knot confinement via persistent homology
Daniele Celoria, Barbara I. Mahler
In this paper we study how randomly generated knots occupy a volume of space using topological methods. To this end, we consider the evolution of the first homology of an immersed…
Rational cobordisms and integral homology
Paolo Aceto, Daniele Celoria, JungHwan Park
We consider the question of when a rational homology 3-sphere is rational homology cobordant to a connected sum of lens spaces. We prove that every rational homology cobordism clas…
Upsilon invariants from cyclic branched covers
Antonio Alfieri, Daniele Celoria, Andras Stipsicz
We extend the construction of upsilon-type invariants to null-homologous knots in rational homology three-spheres. By considering -fold cyclic branched covers with a prime p…