11 citations · 13 across the 6 of their papers we have counts for
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math.GT2016
Shadows and quantum invariants
Alessio Carrega
This is a PhD thesis about low dimensional topology, in particular knot thory in 3-manifolds also different from the 3-sphere, topological applications of quantum invariants, and T…
math.GT2016★ 11 cited
9 generators of the skein space of the 3-torus
Alessio Carrega
We show that the skein vector space of the 3-torus is finitely generated. We show that it is generated by 9 elements: the empty set, some simple closed curves representing the non…
math.GT2016
The Tait conjecture in g(S^1xS^2)
Alessio Carrega
The Tait conjecture states that alternating reduced diagrams of links in S^3 have the minimal number of crossings. It has been proved in 1987 by M. Thistlethwaite, L. Kauffman and…