42 citations · 201 across the 24 of their papers we have counts for
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math.GT2011★ 2 cited
Alexander quandle lower bounds for link genera
Riccardo Benedetti, Roberto Frigerio
We denote by Q_F the family of the Alexander quandle structures supported by finite fields. For every k-component oriented link L, every partition P of L into h:=|P| sublinks, and…
math.GT2011★ 1 cited
Levels of knotting of spatial handlebodies
Riccardo Benedetti, Roberto Frigerio
Given a (genus 2) cube-with-holes M, i.e. the complement in S^3 of a handlebody H, we relate intrinsic properties of M (like its cut number) with extrinsic features depending on th…
math.GT2011
The Kashaev and quantum hyperbolic link invariants
Stephane Baseilhac, Riccardo Benedetti
We show that the link invariants derived from 3-dimensional quantum hyperbolic geometry can be defined by means of planar state sums based on link diagrams and a new family of enha…