Notes for 6 1's three dimensional invariants: Difference between revisions
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[[6_1]] is a ribbon knot (drawings by Yoko Mizuma): |
[[6_1]] is a ribbon knot (drawings by Yoko Mizuma): |
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|[[Image:6_1_As_Ribbon.jpg|thumb| |
|[[Image:6_1_As_Ribbon.jpg|thumb|100px|a ribbon diagram]] |
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|[[Image:6_1_Ribbon_Sequence.jpg|thumb|isotopy to a ribbon]] |
|[[Image:6_1_Ribbon_Sequence.jpg|thumb|isotopy to a ribbon]] |
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[[Image:6_1_is_doubly_slice.jpg|thumb|135px|right|[[6_1]] is doubly slice, by Scott Carter]] Scott Carter notes that [[6_1]] is doubly slice - it bounds two distinct slice disks. He says: "this was spoken of in Fox's Example 10, 11, and 12 in a Quick Trip through Knot Theory ... BTW, the cover of Carter and Saito's ''Knotted Surfaces and Their Diagrams'' contains an illustration of such a slice disk". A picture is on the right. |
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Revision as of 09:07, 4 July 2012
6_1 is a ribbon knot (drawings by Yoko Mizuma):
6_1 is doubly slice, by Scott Carter
Scott Carter notes that 6_1 is doubly slice - it bounds two distinct slice disks. He says: "this was spoken of in Fox's Example 10, 11, and 12 in a Quick Trip through Knot Theory ... BTW, the cover of Carter and Saito's Knotted Surfaces and Their Diagrams contains an illustration of such a slice disk". A picture is on the right.
