"Quantum dilogarithm"의 두 판 사이의 차이

2021년 2월 17일 (수) 03:08 기준 최신판

[Kashaev1995]
a link invariant, depending on a positive integer parameter N, has been defined via three-dimensional interpretation of the cyclic quantum dilogarithm
The construction can be considered as an example of the simplicial (combinatorial) version of the three-dimensional TQFT
this invariant is in fact a quantum generalization of the hyperbolic volume invariant.
It is possible that the simplicialTQFT, defined in terms of the cyclic quantum dilogarithm, can be associated with quantum 2 + 1-dimensional gravity.

[Kashaev1995]A link invariant from quantum dilogarithm
- Kashaev, R. M., Modern Phys. Lett. A 10 (1995), 1409–1418

@@ 5번째 줄: / 5번째 줄: @@
 * http://arxiv.org/abs/hep-th/9611117
-==근사 공식==
-* <math>q=e^{-t}</math> and as the t goes 0 (i.e. as q goes to 1) :<math>\sum_{n=0}^{\infty}\frac{q^{\frac{A}{2}n^2+cn}}{(q)_n}\sim\exp(\frac{C}{t})</math>
-여기서 C는 [http://pythagoras0.springnote.com/pages/4855791 로저스 다이로그 함수 (Roger's dilogarithm)] 의 어떤 값에서의 합
 ==Knot and invariants from quantum dilogarithm==
@@ 30번째 줄: / 17번째 줄: @@
 ** Kashaev, R. M., Modern Phys. Lett. A 10 (1995), 1409–1418
+==Teschner's version==
+* <math>b\in \R_{>0}</math>
+* <math>G_b(z)</math>
+* <math>G_b(z+Q)=G_b(z)(1-e^{2\pi ib z})(1-e^{2\pi ib^{-1}z})</math>, where <math>Q=b+b^{-1}</math>
 ==related items==
+* [[Manufacturing matrices from lower ranks]]
 * [[Fermionic summation formula]]
 * [[asymptotic analysis of basic hypergeometric series]]
-* [[Kashaev's volume conjecture|Kashaev's volume Conjecture]]
+* [[Kashaev's volume conjecture]]
+==computational resource==
+* https://drive.google.com/file/d/0B8XXo8Tve1cxQ09YeHM2ellGS1U/view
+* http://math-www.uni-paderborn.de/~axel/graphs/
 [[분류:개인노트]]
-[[Category:research topics]]
 [[분류:Number theory and physics]]
 [[분류:dilogarithm]]
+[[분류:migrate]]
+==메타데이터==
+===위키데이터===
+* ID :  [https://www.wikidata.org/wiki/Q7269036 Q7269036]
+===Spacy 패턴 목록===
+* [{'LOWER': 'quantum'}, {'LEMMA': 'dilogarithm'}]