An invariant for open virtual strings

Mathematics – Geometric Topology

Scientific paper

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9 pages, 10 figures. Version 2 includes improvements to section 3. To appear in J. Knot Theory and its Ramifications

Scientific paper

Extended Alexander groups are used to define an invariant for open virtual
strings. Examples of non-commuting open strings and a ribbon-concordance
obstruction are given. An example is given of a slice virtual open string that
is not ribbon. Definitions are extended to open n-strings.

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