Everywhere 1-trivial Knot Projections
نویسنده
چکیده
A knot diagram is called everywhere n-trivial, if it turns into an unknot diagram by switching any set of n of its crossings. We show several partial cases of the conjecture that the knots with everywhere 1-trivial knot diagrams are exactly the trivial, trefoil and figure eight knots. We discuss a relation to 2-trivadjacent knots and prove some properties of such knots mainly concerning their HOMFLY polynomial.
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