Hurwitz Equivalence of Braid Group Factorizations Consisting of a Semi-Frame

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dc.creatorBen-Itzhak, M. Teicher T.
dc.date2002-09-17
dc.date.accessioned2026-07-07T04:50:56Z
dc.date.available2026-07-07T04:50:56Z
dc.descriptionIn this paper we prove certain Hurwitz equivalence properties in the braid group. Our main result is that every two factorizations of $Δ_n ^2$ where the elements of the factorization are semi-frame are Hurwitz equivalent. The results of this paper are generalization of the results in \cite{B4}. We use a new presentation of the braid group, called the Birman-Ko-Lee presentation, to define the semi-frame structure. The main result of this paper can be applied to compute the BMT invariant of surfaces. The BMT is the class of Hurwitz equivalent factorizations of the central element of the braid group. The BMT distinguish among diffeomorphic surfaces which are not deformation of each other.
dc.identifierhttps://arxiv.org/abs/math/0209209
dc.identifierhttp://arxiv.org/abs/math/0209209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64972
dc.subjectAlgebraic Geometry
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.titleHurwitz Equivalence of Braid Group Factorizations Consisting of a Semi-Frame
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