Notes for 6 1's three dimensional invariants

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6_1 is a ribbon knot (drawings by Yoko Mizuma):

a ribbon diagram
isotopy to a ribbon
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.