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- W2034674199 abstract "We consider oriented knots and links in a handlebody of genus g through appropriate braid representatives in S 3 , which are elements of the braid groups B g,n . We prove a geometric version of the Markov theorem for braid equivalence in the handlebody, which is based on the L-moves. Using this we then prove two algebraic versions of the Markov theorem. The first one uses the L-moves. The second one uses the Markov moves and conjugation in the groups B g,n . We show that not all conjugations correspond to isotopies." @default.
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- W2034674199 date "2002-09-01" @default.
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- W2034674199 title "KNOT THEORY IN HANDLEBODIES" @default.
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- W2034674199 doi "https://doi.org/10.1142/s0218216502002050" @default.
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