Knot theory - 편집 역사

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@@ 121번째 줄: / 121번째 줄: @@
 [[분류:migrate]]
-== 메타데이터 ==
+==메타데이터==
 ===위키데이터===
 * ID :  [https://www.wikidata.org/wiki/Q849798 Q849798]

← 이전 판		2020년 12월 28일 (월) 12:46 판
120번째 줄:		120번째 줄:
	[[분류:Knot theory]]		[[분류:Knot theory]]
	[[분류:migrate]]		[[분류:migrate]]
		+
		+	== 메타데이터 ==
		+
		+	===위키데이터===
		+	* ID : [https://www.wikidata.org/wiki/Q849798 Q849798]

@@ 2번째 줄: / 2번째 줄: @@
 * {{수학노트|url=매듭이론_(knot_theory)}}
-* Given a knot and a rational number one can define a closed three-manifold by Dehn surgery
+* Given a knot and a rational number one can define a closed three-manifold by Dehn surgery
 *  Knot complements and 3-manifolds
 ** a knot K is either hyperbolic or a torus knot or a satellite knot
@@ 16번째 줄: / 16번째 줄: @@
 ==Kauffman's principle==
-−
-−
-==knot invariants==
+==knot invariants==
 * Alexander-Conway polynomial
@@ 31번째 줄: / 31번째 줄: @@
 * This is analogous to studying a physical theory that is in fact relativistic but in which one does not know of a manifestly relativistic formulation - like quantum electrodynamics in the 1930's.
-−
-−
 ==Jones polynomial==
@@ 40번째 줄: / 40번째 줄: @@
 * colored Jones polynomial
 * [[Hecke algebra]]
-* [[Jones polynomials]] and <math>U_q[\mathfrak{sl}(2)]</math>
+* [[Jones polynomials]] and <math>U_q[\mathfrak{sl}(2)]</math>
-−
 ==Knot theory, statistical mechanics and quantum groups==
-* [[Knot theory|Knot Theory]] and Statistical Mechanics
+* [[Knot theory|Knot Theory]] and Statistical Mechanics
 ** http://web.phys.ntu.edu.tw/phystalks/Wu.pdf
 * using the Boltzmann weights from the various exactly solvable models, we can discover an infinite series of invariants of knots
-* so the problem is to find a nice set of Boltzmann weights which give non-trivial invariants
+* so the problem is to find a nice set of Boltzmann weights which give non-trivial invariants
@@ 58번째 줄: / 58번째 줄: @@
 * [[topological quantum field theory(TQFT)]]
-−
-−
 ==knot and QFT==
@@ 71번째 줄: / 71번째 줄: @@
 * [[volume of hyperbolic threefolds and L-values]]
-−
 ==computational resource==
 * https://docs.google.com/file/d/0B8XXo8Tve1cxUlVqT190VzRTdGs/edit
@@ 80번째 줄: / 80번째 줄: @@
 * Atiyah, Michael The Geometry and Physics of Knots
-−
 ==encyclopedia==
@@ 93번째 줄: / 93번째 줄: @@
 * [http://dx.doi.org/10.1142/S0217732395001526 A link invariant from quantum dilogarithm]
-** Kashaev, R. M., Modern Phys. Lett. A 10 (1995), 1409–1418
+** Kashaev, R. M., Modern Phys. Lett. A 10 (1995), 1409–1418
 * [http://www.bkfc.net/altendor/KnotTheoryAndStatisticalMechanics.pdf Knot theory and statistical mechanics]
 ** Richard Altendorfer
@@ 107번째 줄: / 107번째 줄: @@
 ** Richard Altendorfer
-−
 ==question and answers(Math Overflow)==
@@ 115번째 줄: / 115번째 줄: @@
-−
 [[분류:math and physics]]
 [[분류:Knot theory]]
 [[분류:migrate]]

@@ 46번째 줄: / 46번째 줄: @@
 ==Knot theory, statistical mechanics and quantum groups==
-* [[Knot theory|Knot Theory]] and Statistical Mechanics<br>
+* [[Knot theory|Knot Theory]] and Statistical Mechanics
 ** http://web.phys.ntu.edu.tw/phystalks/Wu.pdf
@@ 92번째 줄: / 92번째 줄: @@
 ==articles==
-* [http://dx.doi.org/10.1142/S0217732395001526 A link invariant from quantum dilogarithm]<br>
+* [http://dx.doi.org/10.1142/S0217732395001526 A link invariant from quantum dilogarithm]
 ** Kashaev, R. M., Modern Phys. Lett. A 10 (1995), 1409–1418
-* [http://www.bkfc.net/altendor/KnotTheoryAndStatisticalMechanics.pdf Knot theory and statistical mechanics]<br>
+* [http://www.bkfc.net/altendor/KnotTheoryAndStatisticalMechanics.pdf Knot theory and statistical mechanics]
 ** Richard Altendorfer
 * http://www.bkfc.net/altendor/KnotTheoryAndStatisticalMechanics.pdf
-* [http://siba2.unile.it/ese/issues/1/19/Notematv9supplp17.pdf Knot and physics]<br>
+* [http://siba2.unile.it/ese/issues/1/19/Notematv9supplp17.pdf Knot and physics]
-**  Kauffman, 1989<br>
+**  Kauffman, 1989
-* [http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.pjm/1102650387 On knot invariants related to some statistical mechanical models.]<br>
+* [http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.pjm/1102650387 On knot invariants related to some statistical mechanical models.]
 ** V. F. R. Jones, 1989
-* [http://www.kryakin.com/files/Invent_mat_%282_8%29/92/92_05.pdf The Yang-Baxter equation and invariants of links]<br>
+* [http://www.kryakin.com/files/Invent_mat_%282_8%29/92/92_05.pdf The Yang-Baxter equation and invariants of links]
 ** Turaev, 1988
-* [http://www.bkfc.net/altendor/IntroductionToKnotTheory.pdf An Introduction to Knot Theory]<br>
+* [http://www.bkfc.net/altendor/IntroductionToKnotTheory.pdf An Introduction to Knot Theory]
 ** Richard Altendorfer

← 이전 판		2020년 11월 13일 (금) 10:59 판
119번째 줄:		119번째 줄:
	[[분류:math and physics]]		[[분류:math and physics]]
	[[분류:Knot theory]]		[[분류:Knot theory]]
		+	[[분류:migrate]]

@@ 68번째 줄: / 68번째 줄: @@
 ==related items==
+* [[Knot theory and q-series]]
 * [[volume of hyperbolic threefolds and L-values]]

← 이전 판		2013년 6월 24일 (월) 12:28 판
118번째 줄:		118번째 줄:

	[[분류:math and physics]]		[[분류:math and physics]]
		+	[[분류:Knot theory]]

@@ 5번째 줄: / 5번째 줄: @@
 *  Knot complements and 3-manifolds
 ** a knot K is either hyperbolic or a torus knot or a satellite knot
 ==knot diagram==
@@ 15번째 줄: / 12번째 줄: @@
 * projection to two dimensional space
 ==Kauffman's principle==
@@ 46번째 줄: / 41번째 줄: @@
 * [[Hecke algebra]]
 * [[Jones polynomials]] and <math>U_q[\mathfrak{sl}(2)]</math>
@@ 59번째 줄: / 52번째 줄: @@
 * so the problem is to find a nice set of Boltzmann weights which give non-trivial invariants
 ==2+1 dimensional TQFT==
@@ 68번째 줄: / 59번째 줄: @@
@@ 75번째 줄: / 65번째 줄: @@
 * [[knot and quantum field theory]]
 ==related items==
-* [[volume of hyperbolic threefolds and L-values|volume of hyperbolic 3-manifolds and L-values]]
+* [[volume of hyperbolic threefolds and L-values]]
@@ 117번째 줄: / 78번째 줄: @@
 ==books==
-*  The Geometry and Physics of Knots<br>
+* Atiyah, Michael The Geometry and Physics of Knots
@@ 128번째 줄: / 88번째 줄: @@
 * http://en.wikipedia.org/wiki/Reidemeister_move
 ==articles==
@@ 167번째 줄: / 108번째 줄: @@
 [[분류:math and physics]]

@@ 117번째 줄: / 117번째 줄: @@
 ==books==
@@ 122번째 줄: / 125번째 줄: @@
 *  The Geometry and Physics of Knots<br>
 ** Atiyah, Michael
-==encyclopedia[http://ko.wikipedia.org/wiki/%EB%A7%A4%EB%93%AD%EC%9D%B4%EB%A1%A0 ]==
+==encyclopedia==
 * http://en.wikipedia.org/wiki/knot_theory
 * http://en.wikipedia.org/wiki/List_of_knot_theory_topics
 * [http://en.wikipedia.org/wiki/Link_%28knot_theory%29 http://en.wikipedia.org/wiki/Link_(knot_theory)]
 * http://en.wikipedia.org/wiki/Reidemeister_move
 ==question and answers(Math Overflow)==
@@ 162번째 줄: / 151번째 줄: @@
 ** [http://blogsearch.google.com/blogsearch?q=%EB%A7%A4%EB%93%AD%EC%9D%B4%EB%A1%A0 http://blogsearch.google.com/blogsearch?q=매듭이론]
 ** http://blogsearch.google.com/blogsearch?q=knot+theory
@@ 184번째 줄: / 171번째 줄: @@
 * [http://www.bkfc.net/altendor/IntroductionToKnotTheory.pdf An Introduction to Knot Theory]<br>
 ** Richard Altendorfer
@@ 206번째 줄: / 176번째 줄: @@
 [[분류:math and physics]]