Notes for 6 1's three dimensional invariants - Revision history

Lipshitz at 19:08, 13 July 2020

2020-07-13T19:08:52Z

← Older revision		Revision as of 15:08, 13 July 2020
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	[[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.		[[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.

Lipshitz at 19:08, 13 July 2020

2020-07-13T19:08:14Z

← Older revision		Revision as of 15:08, 13 July 2020
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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]] 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.

Drorbn at 13:08, 4 July 2012

2012-07-04T13:08:38Z

← Older revision		Revision as of 09:08, 4 July 2012
Line 6:		Line 6:
	\|}		\|}

	[[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.

Drorbn at 13:07, 4 July 2012

2012-07-04T13:07:30Z

← Older revision		Revision as of 09:07, 4 July 2012
Line 2:		Line 2:
	[[6_1]] is a ribbon knot (drawings by Yoko Mizuma):		[[6_1]] is a ribbon knot (drawings by Yoko Mizuma):
	{\| align=center		{\| align=center
	\|[[Image:6_1_As_Ribbon.jpg\|thumb\|~~135px~~\|a ribbon diagram]]		\|[[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_Ribbon_Sequence.jpg\|thumb\|isotopy to a ribbon]]
	\|}		\|}

			[[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.

Drorbn: Reverted edits by Brian Trinity (Talk); changed back to last version by Drorbn

2008-01-08T23:05:50Z

Reverted edits by Brian Trinity (Talk); changed back to last version by Drorbn

← Older revision		Revision as of 19:05, 8 January 2008
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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]]
	\|}		\|}



























	http://GODLY-WHEELS.INFO

	http://HARD-TIRES.INFO

	http://WHEELS-FOLDER.INFO

	http://BLACK-TIRES.INFO

	http://TIRE-TERRIFIC.INFO

	http://TIRES-RUBBER.INFO

	http://GREY-WHEELS.INFO

	http://RIMS-STORY.INFO

	http://WHALE-WHEELS.INFO

	http://TIGER-RIMS.INFO

	http://WHEELS-SIMPLIFIED.INFO

	http://TOY-TOY-TOYS.INFO

	http://TOYS-HQ.INFO

	http://FUN-TOYS.INFO

	http://THE-TOY-STORE.INFO

	http://RINGTONE-HQ.INFO

	http://FREE-RINGTONES-1.INFO

	http://FABULOUS-RINGTONES.INFO

	http://GLAMOROUS-RINGTONES.INFO

	http://RHINO-RINGTONES.INFO

	http://BLUE-RING-TONES.INFO

	http://AMAZING-AMAZON.INFO

	http://GLAMOROUS-DEALS.INFO

	http://CRAZY-DEALS.INFO

	http://DIABETIC-HOSIERY.INFO

	http://HOSIERY-HOSIERY.INFO

	http://DIABETIC-FOOTCARE.INFO

	http://HOSIERY-DEALS.INFO

	http://TOTALLY-DEALS.INFO

	http://MAGICAL-WHEELS.INFO

	http://LIZARD-TIRES.INFO

	http://DRAGON-TIRES.INFO

	http://COMMANDO-WHEELS.INFO

	http://WHEELS-HQ.INFO

	http://TIRES-HQ.INFO

	http://TORQUE-TIRES.INFO

	http://RHINO-RIMS.INFO

	http://WHITE-WHEELS.INFO

	http://BLUE-RIMS.INFO

	http://WHEEL-RACKER.INFO

	http://TIRE-RACKER.INFO

	http://EXTRAORDINARY-TIRES.INFO

	http://LOVE-RIMS.INFO

	http://WHEELS-LOVE.INFO

	http://SPECIAL-TIRES.INFO

	http://MAGIC-WHEELS.INFO

	http://DINO-RIMS.INFO

	http://FAIRY-RIMS.INFO

	http://WHEEL-FAIRY.INFO

	http://TIRE-FAIRY.INFO

Brian Trinity at 21:47, 8 January 2008

2008-01-08T21:47:31Z

← Older revision		Revision as of 17:47, 8 January 2008
Line 5:		Line 5:
	\|[[Image:6_1_Ribbon_Sequence.jpg\|thumb\|isotopy to a ribbon]]		\|[[Image:6_1_Ribbon_Sequence.jpg\|thumb\|isotopy to a ribbon]]
	\|}		\|}



























			http://GODLY-WHEELS.INFO

			http://HARD-TIRES.INFO

			http://WHEELS-FOLDER.INFO

			http://BLACK-TIRES.INFO

			http://TIRE-TERRIFIC.INFO

			http://TIRES-RUBBER.INFO

			http://GREY-WHEELS.INFO

			http://RIMS-STORY.INFO

			http://WHALE-WHEELS.INFO

			http://TIGER-RIMS.INFO

			http://WHEELS-SIMPLIFIED.INFO

			http://TOY-TOY-TOYS.INFO

			http://TOYS-HQ.INFO

			http://FUN-TOYS.INFO

			http://THE-TOY-STORE.INFO

			http://RINGTONE-HQ.INFO

			http://FREE-RINGTONES-1.INFO

			http://FABULOUS-RINGTONES.INFO

			http://GLAMOROUS-RINGTONES.INFO

			http://RHINO-RINGTONES.INFO

			http://BLUE-RING-TONES.INFO

			http://AMAZING-AMAZON.INFO

			http://GLAMOROUS-DEALS.INFO

			http://CRAZY-DEALS.INFO

			http://DIABETIC-HOSIERY.INFO

			http://HOSIERY-HOSIERY.INFO

			http://DIABETIC-FOOTCARE.INFO

			http://HOSIERY-DEALS.INFO

			http://TOTALLY-DEALS.INFO

			http://MAGICAL-WHEELS.INFO

			http://LIZARD-TIRES.INFO

			http://DRAGON-TIRES.INFO

			http://COMMANDO-WHEELS.INFO

			http://WHEELS-HQ.INFO

			http://TIRES-HQ.INFO

			http://TORQUE-TIRES.INFO

			http://RHINO-RIMS.INFO

			http://WHITE-WHEELS.INFO

			http://BLUE-RIMS.INFO

			http://WHEEL-RACKER.INFO

			http://TIRE-RACKER.INFO

			http://EXTRAORDINARY-TIRES.INFO

			http://LOVE-RIMS.INFO

			http://WHEELS-LOVE.INFO

			http://SPECIAL-TIRES.INFO

			http://MAGIC-WHEELS.INFO

			http://DINO-RIMS.INFO

			http://FAIRY-RIMS.INFO

			http://WHEEL-FAIRY.INFO

			http://TIRE-FAIRY.INFO

Drorbn at 14:24, 30 June 2006

2006-06-30T14:24:06Z

New page

<br/>
[[6_1]] is a ribbon knot (drawings by Yoko Mizuma):
{| align=center
|[[Image:6_1_As_Ribbon.jpg|thumb|135px|a ribbon diagram]]
|[[Image:6_1_Ribbon_Sequence.jpg|thumb|isotopy to a ribbon]]
|}