Volume of hyperbolic 3-manifolds - 편집 역사

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Pythagoras0 사용자가 Volume of hyperbolic 3-manifolds and L-values 문서를 Volume of hyperbolic 3-manifolds 문서로 옮겼습니다.

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articles

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 [[분류:Number theory and physics]]
 [[분류:migrate]]
 ==메타데이터==

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 == 메타데이터 ==
 ===위키데이터===
 * ID :  [https://www.wikidata.org/wiki/Q168697 Q168697]

← 이전 판		2020년 12월 28일 (월) 13:41 판
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	[[분류:Number theory and physics]]		[[분류:Number theory and physics]]
	[[분류:migrate]]		[[분류:migrate]]
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		+	== 메타데이터 ==
		+
		+	===위키데이터===
		+	* ID : [https://www.wikidata.org/wiki/Q168697 Q168697]

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 ==expositions==
-*  Steven Finch, Volumes of Hyperbolic 3-Manifolds, September 5, 2004 http://algo.inria.fr/csolve/hyp.pdf<br>
+*  Steven Finch, Volumes of Hyperbolic 3-Manifolds, September 5, 2004 http://algo.inria.fr/csolve/hyp.pdf
@@ 88번째 줄: / 88번째 줄: @@
 ==articles==
-* Purcell, Jessica S., and Alexander Zupan. “Independence of Volume and Genus $g$ Bridge Numbers.” arXiv:1512.03869 [math], December 11, 2015. http://arxiv.org/abs/1512.03869.
+* Purcell, Jessica S., and Alexander Zupan. “Independence of Volume and Genus <math>g</math> Bridge Numbers.” arXiv:1512.03869 [math], December 11, 2015. http://arxiv.org/abs/1512.03869.
 * Le, Thang. “Growth of Homology Torsion in Finite Coverings and Hyperbolic Volume.” arXiv:1412.7758 [math], December 24, 2014. http://arxiv.org/abs/1412.7758.
 * Alexander Goncharov, [http://www.jstor.org/stable/2646189 Volumes of Hyperbolic Manifolds and Mixed Tate Motives], 1999

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	[[분류:math and physics]]		[[분류:math and physics]]
	[[분류:Number theory and physics]]		[[분류:Number theory and physics]]
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 * volume is an important invariant of hyperbolic 3-manifold
 * big open problem [[Kashaev's volume conjecture]]
-*  three simple hyperbolic knots<br>
+*  three simple hyperbolic knots
-** <math>4_{1}</math> figure 8 knot<br>
+** <math>4_{1}</math> figure 8 knot
-** <math>5_{2}</math><br>
+** <math>5_{2}</math>
-** <math>6_{1}</math>, <math>6_{1}</math>, <math>6_{1}</math><br>
+** <math>6_{1}</math>, <math>6_{1}</math>, <math>6_{1}</math>
+* A theorem of Jorgensen and Thurston implies that the volume of a hyperbolic 3-manifold is bounded below by a linear function of its Heegaard genus
-−
-−
 ==volume of figure eight knot complement==
 * [[Figure eight knot]]
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-−
 ==other examples==
@@ 26번째 줄: / 23번째 줄: @@
 * <math>V(6_{1})=3.163963228\cdots</math>
-−
-−
 ==Chern-Simons invariant==
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 * [[Chern-Simons gauge theory and invariant|Chern-Simons theory]]
-−
-−
 ==Jones polynomial==
-−
+*
-−
-−
 ==links==
@@ 50번째 줄: / 47번째 줄: @@
 * [http://pythagoras0.springnote.com/pages/5098745 매듭이론 (knot theory)]
-−
-−
 ==history==
@@ 58번째 줄: / 55번째 줄: @@
 * http://www.google.com/search?hl=en&tbs=tl:1&q=
-−
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 ==related items==
-−
-−
 ==computational resource==
 * https://docs.google.com/file/d/0B8XXo8Tve1cxX3ZsSC04OEUwU0k/edit
@@ 80번째 줄: / 77번째 줄: @@
-−
 ==expositions==
@@ 86번째 줄: / 83번째 줄: @@
 *  Steven Finch, Volumes of Hyperbolic 3-Manifolds, September 5, 2004 http://algo.inria.fr/csolve/hyp.pdf<br>
-−
-−
 ==articles==
 * Le, Thang. “Growth of Homology Torsion in Finite Coverings and Hyperbolic Volume.” arXiv:1412.7758 [math], December 24, 2014. http://arxiv.org/abs/1412.7758.
 * Alexander Goncharov, [http://www.jstor.org/stable/2646189 Volumes of Hyperbolic Manifolds and Mixed Tate Motives], 1999
 * Gliozzi, F., and R. Tateo. 1995. Thermodynamic Bethe Ansatz and Threefold Triangulations. hep-th/9505102 (May 17). doi:doi:[http://dx.doi.org/10.1142/S0217751X96001905 10.1142/S0217751X96001905]. http://arxiv.org/abs/hep-th/9505102.
-* Adams, C., Hildebrand, M. and Weeks, J., [http://www.jstor.org/stable/2001854 Hyperbolic invariants of knots and links], Trans. Amer.Math. Soc. 1 (1991), 1–56.
+* Adams, C., Hildebrand, M. and Weeks, J., [http://www.jstor.org/stable/2001854 Hyperbolic invariants of knots and links], Trans. Amer.Math. Soc. 1 (1991), 1–56.
-* Don Zagier, [http://www.springerlink.com/content/v36272439g3g5006/ Hyperbolic manifolds and special values of Dedekind zeta-functions],  Inventiones Mathematicae, Volume 83, Number 2 / 1986년 6월
+* Don Zagier, [http://www.springerlink.com/content/v36272439g3g5006/ Hyperbolic manifolds and special values of Dedekind zeta-functions],  Inventiones Mathematicae, Volume 83, Number 2 / 1986년 6월
 * Borel, A. “Commensurability Classes and Volumes of Hyperbolic 3-Manifolds.” Ann. Sc. Norm. Super. Pisa8, 1–33 (1981)
 http://www.numdam.org/numdam-bin/item?ma=211807&id=ASNSP_1981_4_8_1_1_0.

← 이전 판	2014년 12월 30일 (화) 04:36 판
(차이 없음)

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 ==volume of figure eight knot complement==
+* [[Figure eight knot]]
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 ==computational resource==
 * https://docs.google.com/file/d/0B8XXo8Tve1cxX3ZsSC04OEUwU0k/edit
 ==encyclopedia==
@@ 86번째 줄: / 77번째 줄: @@
 * http://en.wikipedia.org/wiki/
@@ 121번째 줄: / 97번째 줄: @@
 * Don Zagier, [http://www.springerlink.com/content/v36272439g3g5006/ Hyperbolic manifolds and special values of Dedekind zeta-functions],  Inventiones Mathematicae, Volume 83, Number 2 / 1986년 6월
 * A. Borel, Commensurability classes and volumes of hyperbolic 3-manifolds , Ann. Sc. Norm. Super. Pisa8, 1–33 (1981)