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��ځF�@�@ Applications of the Markov Theorem Without Stabilization
�T�v�F�@�@ This work is joint with Joan Birman. The Markov Theorem Without
Stabilization (MTWS) establishes the existence of a finite set of
moves which allow one to pass from an arbitrary closed braid
representative X+ of an arbitrary oriented knot or link type in oriented
3-space to an arbitrary representative X- of minimum braid index,
through a sequence of closed braids whose braid index is non-increasing.
Using the MTWS, we will give several constructions for producing two
transversal knots that have the same topological knot type in the 3-sphere,
have the same transversal invariants in the standard contact structure on
the 3-sphere, but are not transversally isotopic.