Knot Atlas - User contributions [en]

Notes for 6 1's three dimensional invariants

2020-07-13T19:08:52Z

Lipshitz:

<br/>
[[6_1]] is a ribbon knot (drawings by Yoko Mizuma):
{| align=center
|[[Image:6_1_As_Ribbon.jpg|thumb|100px|a ribbon diagram]]
|[[Image:6_1_Ribbon_Sequence.jpg|thumb|isotopy to a ribbon]]
|}

[[Image:6_1_is_doubly_slice.jpg|thumb|135px|right|[[6_1]] has two slice disks, by Scott Carter]] Scott Carter notes that 6_1 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.

Notes for 6 1's three dimensional invariants

2020-07-13T19:08:14Z

Lipshitz:

<br/>
[[6_1]] is a ribbon knot (drawings by Yoko Mizuma):
{| align=center
|[[Image:6_1_As_Ribbon.jpg|thumb|100px|a ribbon diagram]]
|[[Image:6_1_Ribbon_Sequence.jpg|thumb|isotopy to a ribbon]]
|}

[[Image:6_1_is_doubly_slice.jpg|thumb|135px|right|[[6_1]] has two slice disks, by Scott Carter]] Scott Carter notes that 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.