Notes for 6 1's three dimensional invariants: Difference between revisions
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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. |
[[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 09:08, 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.
