On the kauffman bracket skein algebra of parallelized surfaces

Pierre Sallenave

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Displaying similar documents to “On the kauffman bracket skein algebra of parallelized surfaces”

Virtual strings

Vladimir Turaev (2004)

Annales de l'Institut Fourier

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A virtual string is a scheme of self-intersections of a closed curve on a surface. We study algebraic invariants of strings as well as two equivalence relations on the set of strings: homotopy and cobordism. We show that the homotopy invariants of strings form an infinite dimensional Lie group. We also discuss connections between virtual strings and virtual knots.