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math.GT2005
Representations of non-singular planar tangles by operators
Rui Pedro Carpentier
In this paper we study how to distinguish two embeddings of a finite collection of disjoint circles into the plane up to planar isotopy. We adopt the spirit of the approach by V. T…
math.GT2002
Topological notions for Kauffman and Vogel's polynomial
Rui Pedro Carpentier
In [2] Kauffman and Vogel constructed a rigid vertex regular isotopy invariant for unoriented four-valent graphs embedded in three dimensional space. It assigns to each embedded gr…
math.GT2000
From planar graphs to embedded graphs - a new approach to Kauffman and Vogel's polynomial
Rui Pedro Carpentier
In \cite{4} Kauffman and Vogel constructed a rigid vertex regular isotopy invariant for unoriented four-valent graphs embedded in three dimensional space. It assigns to each embedd…