Acta Mathematica Vietnamica
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ON TABULATING VIRTUAL STRINGS
ANDREW GIBSON
Abstract
A virtual string can be defined as a closed curve on a surface modulo certain equivalence relations. Turaev defined several invariants of virtual strings which we use to produce a table of virtual strings up to 4 crossings. We discuss some progress in extending the tabulation to 5 crossings. We also provide a counter-example to a statement of Kadokami.