18 citations · 21 across the 8 of their papers we have counts for
7 papers · 1 filter
Zero-surgery characterises Whitehead doubles
Alice Merz, Diego Santoro
We show that zero is a characterising slope for the untwisted Whitehead double of any knot . More generally, this holds for all -twisted Whitehead doubles of , with the as…
On L-space surgeries on two-bridge links
Diego Santoro, Hugo Zhou
We classify the sets of -space surgeries on all two-bridge links, providing the first examples of hyperbolic links for which such sets cannot be described as unions of finitely…
On the detection of knots by their traces in high dimensions
Valentina Bais, Alessio Di Prisa, Daniel Hartman +8
For every , we demonstrate the existence of non-isotopic, smooth -knots in with diffeomorphic traces. We give two proofs: the first by generalising the RBG l…
Taut foliations from knot diagrams
Diego Santoro
We prove that knots in satisfying certain diagrammatic properties are persistently foliar. As a consequence, all their non-trivial surgeries support coorientable taut foliati…
L-spaces, taut foliations and fibered hyperbolic two-bridge links
Diego Santoro
We prove that if is a rational homology sphere that is Dehn surgery on a fibered hyperbolic two-bridge link, then is not an -space if and only if supports a coorient…
Dodecahedral L-spaces and hyperbolic 4-manifolds
Ludovico Battista, Leonardo Ferrari, Diego Santoro
We prove that exactly 6 out of the 29 rational homology 3-spheres tessellated by four or less right-angled hyperbolic dodecahedra are L-spaces. The algorithm used is based on the L…
L-spaces, taut foliations and the Whitehead link
Diego Santoro
We prove that if is a rational homology sphere that is a Dehn surgery on the Whitehead link, then is not an -space if and only if supports a coorientable taut foliat…