A remarkable 20-crossing tangle
Abstract
For any positive integer r, we exhibit a knot Kr with (20 · 2 r−1 + 1) crossings whose Jones polynomial V (Kr) is equal to 1 mod-ulo 2 r. Our construction rests on a certain 20-crossing tangle T 20 which is undetectable by the Kauffman bracket polynomial pair mod 2.
Domains
Geometric Topology [math.GT]| Origin | Files produced by the author(s) |
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