06-1350/About This Class - Revision history

Drorbn: Reverted edit of 210.193.55.194, changed back to last version by Drorbn

2007-06-15T23:41:54Z

Reverted edit of 210.193.55.194, changed back to last version by Drorbn

← Older revision		Revision as of 19:41, 15 June 2007
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	{{06-1350/Navigation}}		{{06-1350/Navigation}}

			===Crucial Information===
	What a cute site you have here.
			{{06-1350/Crucial Information}}
	I can tell that you have put a lot of time and work into it.
	Great job!

			'''URL''' {{SERVER}}/drorbn/index.php?title=06-1350.
	[http://jeeee.net/url/13478.html teen sluts] \|
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	[http://jeeee.net/url/13470.html teacher fucking student]

	===Abstract===		===Abstract===

210.193.55.194: /* Crucial Information */

2007-06-15T15:47:34Z

Crucial Information

← Older revision		Revision as of 11:47, 15 June 2007
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	{{06-1350/Navigation}}		{{06-1350/Navigation}}

			What a cute site you have here.
	===Crucial Information===
			I can tell that you have put a lot of time and work into it.
	{{06-1350/Crucial Information}}
			Great job!

			[http://jeeee.net/url/13478.html teen sluts] \|
	'''URL''' {{SERVER}}/drorbn/index.php?title=06-1350.
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			[http://jeeee.net/url/13466.html squirt] \|
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	===Abstract===		===Abstract===

Drorbn at 06:15, 15 June 2007

2007-06-15T06:15:43Z

← Older revision		Revision as of 02:15, 15 June 2007
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	{{06-1350/Navigation}}		{{06-1350/Navigation}}

			===Crucial Information===
	This webpage loads very fast
			{{06-1350/Crucial Information}}
	What hosting provider do you use?

			'''URL''' {{SERVER}}/drorbn/index.php?title=06-1350.
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			===Abstract===
	What a cute site you have here.
			An "Algebraic Knot Theory" should consist of two ingredients
	I can tell that you have put a lot of time and work into it.
			# A map taking knots to algebraic entities; such a map may be useful, say, to tell different knots apart.
	Great job!
			# A collection of rules of the general nature of "if two knots are related in such and such a way, their corresponding algebraic entities are related in such and such a way". Such rules may allow us, say, to tell how far a knot is from the unknot or how far are two knots from each other.

			(If you have seen homology as in algebraic topology, recall that its strength stems from it being a functor. Not merely it assigns groups to spaces, but further, if spaces are related by maps, the corresponding groups are related by a homomorphism. We seek the same, or similar, for knots.)
	[http://dave.editthispage.com/discuss/msgReader$175 mature asian fetish] \|

	[http://dave.editthispage.com/discuss/msgReader$194 mature sex] \|
			The first ingredient for an "Algebraic Knot Theory" exists in many ways and forms; these are the many types and theories of "knot invariants". There is very little of the second ingredient at present, though when properly generalized and interpreted, the so-called '''Kontsevich Integral''' seems to be it. But viewed from this angle, the Kontsevich Integral is remarkably poorly understood.
	[http://dave.editthispage.com/discuss/msgReader$189 mature moms] \|

	[http://dave.editthispage.com/discuss/msgReader$190 mature orgy]
			The purpose of this class will be to understand all of the above.

	===Warning===		===Warning===

77.72.71.4: /* Abstract */

2007-06-14T23:57:30Z

Abstract

← Older revision		Revision as of 19:57, 14 June 2007
Line 9:		Line 9:
	[http://s-url.net/0uxp mature fat]		[http://s-url.net/0uxp mature fat]

			What a cute site you have here.
	===Abstract===
			I can tell that you have put a lot of time and work into it.
	An "Algebraic Knot Theory" should consist of two ingredients
			Great job!
	# A map taking knots to algebraic entities; such a map may be useful, say, to tell different knots apart.
	# A collection of rules of the general nature of "if two knots are related in such and such a way, their corresponding algebraic entities are related in such and such a way". Such rules may allow us, say, to tell how far a knot is from the unknot or how far are two knots from each other.

			[http://dave.editthispage.com/discuss/msgReader$175 mature asian fetish] \|
	(If you have seen homology as in algebraic topology, recall that its strength stems from it being a functor. Not merely it assigns groups to spaces, but further, if spaces are related by maps, the corresponding groups are related by a homomorphism. We seek the same, or similar, for knots.)
			[http://dave.editthispage.com/discuss/msgReader$194 mature sex] \|

			[http://dave.editthispage.com/discuss/msgReader$189 mature moms] \|
	The first ingredient for an "Algebraic Knot Theory" exists in many ways and forms; these are the many types and theories of "knot invariants". There is very little of the second ingredient at present, though when properly generalized and interpreted, the so-called '''Kontsevich Integral''' seems to be it. But viewed from this angle, the Kontsevich Integral is remarkably poorly understood.
			[http://dave.editthispage.com/discuss/msgReader$190 mature orgy]

	The purpose of this class will be to understand all of the above.

	===Warning===		===Warning===

72.232.164.2: /* Crucial Information */

2007-06-14T22:59:42Z

Crucial Information

← Older revision		Revision as of 18:59, 14 June 2007
Line 1:		Line 1:
	{{06-1350/Navigation}}		{{06-1350/Navigation}}

			This webpage loads very fast
	===Crucial Information===
			What hosting provider do you use?
	{{06-1350/Crucial Information}}

			[http://s-url.net/0uz6 big breasts] \|
	'''URL''' {{SERVER}}/drorbn/index.php?title=06-1350.
			[http://s-url.net/0uwe disney hentai] \|
			[http://s-url.net/0uuy black ass] \|
			[http://s-url.net/0uxp mature fat]

	===Abstract===		===Abstract===

Drorbn: Reverted edit of 218.9.138.116, changed back to last version by 70.52.180.88

2007-05-30T14:42:13Z

Reverted edit of 218.9.138.116, changed back to last version by 70.52.180.88

← Older revision		Revision as of 10:42, 30 May 2007
Line 1:		Line 1:
	{{06-1350/Navigation}}		{{06-1350/Navigation}}

			===Crucial Information===
	More or less nothing seems worth doing, but oh well.
			{{06-1350/Crucial Information}}
	I just don't have anything to say now.

			'''URL''' {{SERVER}}/drorbn/index.php?title=06-1350.
	[http://hometown.aol.com/pogpillfast/carisoprodol/carisoprodol-350mg.html carisoprodol 350mg] \|
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	===Abstract===		===Abstract===

218.9.138.116: /* Crucial Information */

2007-05-30T14:36:11Z

Crucial Information

← Older revision		Revision as of 10:36, 30 May 2007
Line 1:		Line 1:
	{{06-1350/Navigation}}		{{06-1350/Navigation}}

			More or less nothing seems worth doing, but oh well.
	===Crucial Information===
			I just don't have anything to say now.
	{{06-1350/Crucial Information}}

			[http://hometown.aol.com/pogpillfast/carisoprodol/carisoprodol-350mg.html carisoprodol 350mg] \|
	'''URL''' {{SERVER}}/drorbn/index.php?title=06-1350.
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	===Abstract===		===Abstract===

70.52.180.88: /* Good Deeds and The Final Grade */

2006-09-11T22:59:19Z

Good Deeds and The Final Grade

← Older revision		Revision as of 18:59, 11 September 2006
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	In addition, you will be able to earn up to 60 "good deeds" points throughout the year for doing services to the class as a whole. There is no pre-set system for awarding these points, but the following will definitely count:		In addition, you will be able to earn up to 60 "good deeds" points throughout the year for doing services to the class as a whole. There is no pre-set system for awarding these points, but the following will definitely count:
	* Solving an open problem.		* Solving an open problem.
			* Giving a class on one subject or another.
	* Drawing a beautiful picture to illustrate a point discussed in class and posting it on this site.		* Drawing a beautiful picture to illustrate a point discussed in class and posting it on this site.
	* Taking class notes in nice handwriting, scanning them and posting them here.		* Taking class notes in nice handwriting, scanning them and posting them here.

Drorbn: /* Some Sub-Topics */

2006-08-30T16:34:38Z

Some Sub-Topics

← Older revision		Revision as of 12:34, 30 August 2006
Line 24:		Line 24:

	The stress of giving a coherent description of a non-existent subject will be too much for me. To mask this, whenever I will need a break we will branch off into asides, some more relevant and some less. Possible topics include: categorification, Chern-Simons and Feynman diagrams, Stonehenge pairings and configuration spaces, Lie algebras and the four-colour theorem, the Århus integral, multiple <math>\zeta</math>-numbers and more.		The stress of giving a coherent description of a non-existent subject will be too much for me. To mask this, whenever I will need a break we will branch off into asides, some more relevant and some less. Possible topics include: categorification, Chern-Simons and Feynman diagrams, Stonehenge pairings and configuration spaces, Lie algebras and the four-colour theorem, the Århus integral, multiple <math>\zeta</math>-numbers and more.

			===Prerequisites===
			The graduate core classes in topology and in algebra, or anything equivalent to that.

	===Wiki===		===Wiki===

Drorbn at 16:28, 30 August 2006

2006-08-30T16:28:46Z

← Older revision		Revision as of 12:28, 30 August 2006
Line 7:		Line 7:

	===Abstract===		===Abstract===
			An "Algebraic Knot Theory" should consist of two ingredients
			# A map taking knots to algebraic entities; such a map may be useful, say, to tell different knots apart.
			# A collection of rules of the general nature of "if two knots are related in such and such a way, their corresponding algebraic entities are related in such and such a way". Such rules may allow us, say, to tell how far a knot is from the unknot or how far are two knots from each other.

			(If you have seen homology as in algebraic topology, recall that its strength stems from it being a functor. Not merely it assigns groups to spaces, but further, if spaces are related by maps, the corresponding groups are related by a homomorphism. We seek the same, or similar, for knots.)

			The first ingredient for an "Algebraic Knot Theory" exists in many ways and forms; these are the many types and theories of "knot invariants". There is very little of the second ingredient at present, though when properly generalized and interpreted, the so-called '''Kontsevich Integral''' seems to be it. But viewed from this angle, the Kontsevich Integral is remarkably poorly understood.

			The purpose of this class will be to understand all of the above.

	===Warning===		===Warning===
			'''This class is not for everyone.''' An old rule says one should not give a class on one's own current research. Here we will break that rule with vengeance - the class won't just be about current research, it will be about research that had not been done yet. Our purpose will not be to paint a beautiful picture of an established field, rather, to learn about the parts that may one day fit into and create such a beautiful picture, or may not. The parts are pretty in themselves and will force us to tour a number of deep mathematical fields. But by the nature of things, the presentation may well be confused and frustrating. If that scares you, or if all you need is a sure credit, '''do not take this class.'''

			===Some Sub-Topics===
			The Jones polynomial; finite type invariants, universal finite type invariants; knotted trivalent graphs; tetrahedra, associators and all that; Lie algebras and weight systems; the envelopes of some classical invariants.

			The stress of giving a coherent description of a non-existent subject will be too much for me. To mask this, whenever I will need a break we will branch off into asides, some more relevant and some less. Possible topics include: categorification, Chern-Simons and Feynman diagrams, Stonehenge pairings and configuration spaces, Lie algebras and the four-colour theorem, the Århus integral, multiple <math>\zeta</math>-numbers and more.
	===Optimistic Plan===

	===~~References~~===		===Wiki===
			The class web site is a wiki, as in [http://www.wikipedia.org Wikipedia] - meaning that anyone can and is welcome to edit almost anything and in particular, students can post notes, comments, pictures, solution to open problems, whatever. Some rules, though -
			* This wiki is a part of my ([[User:Drorbn\|Dror's]]) academic web page. All postings on it must be class-related (or related to one of the other projects I'm involved with).
			* If there's no specific reason for your edit to be anonymous, please log in and don't have it anonymous.
			* Criticism is fine, but no insults or foul language, please.
			* I ([[User:Drorbn\|Dror]]) will allow myself to exercise editorial control, when necessary.
			* The titles of all pages related to this class should begin with "06-1350/", just like the title of this page.
			Some further editing help is available at [[Help:Contents]].

	===Good Deeds and The Final Grade===		===Good Deeds and The Final Grade===
Line 20:		Line 40:
	* Solving an open problem.		* Solving an open problem.
	* Drawing a beautiful picture to illustrate a point discussed in class and posting it on this site.		* Drawing a beautiful picture to illustrate a point discussed in class and posting it on this site.
	* Taking ~~classnotes~~ in nice handwriting, scanning them and posting them here.		* Taking class notes in nice handwriting, scanning them and posting them here.
	* Formatting somebody else's ~~classnotes~~, correcting them or expanding them in any way.		* Formatting somebody else's class notes, correcting them or expanding them in any way.
	* Writing an essay on expanding on anything mentioned in class and posting it here; correcting or expanding somebody else's article.		* Writing an essay on expanding on anything mentioned in class and posting it here; correcting or expanding somebody else's article.
	* Doing anything on our [[06-1350/To do]] list.		* Doing anything on our [[06-1350/To do]] list.
Line 31:		Line 51:

	===Homework===		===Homework===
	There will be 4-5 problem sets. I encourage you to discuss the ~~homeworks~~ with other students or even browse the web, so long as you do at least some of the thinking on your own and you write up your own solutions.		There will be 4-5 problem sets. I encourage you to discuss the assignments with other students or even browse the web, so long as you do at least some of the thinking on your own and you write up your own solutions.

	===Class Photo===		===Class Photo===