"Quantum dilogarithm"의 두 판 사이의 차이
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imported>Pythagoras0 |
Pythagoras0 (토론 | 기여) |
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| (사용자 2명의 중간 판 5개는 보이지 않습니다) | |||
| 17번째 줄: | 17번째 줄: | ||
** Kashaev, R. M., Modern Phys. Lett. A 10 (1995), 1409–1418 | ** Kashaev, R. M., Modern Phys. Lett. A 10 (1995), 1409–1418 | ||
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| + | ==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> | ||
| 32번째 줄: | 37번째 줄: | ||
[[분류:개인노트]] | [[분류:개인노트]] | ||
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[[분류:Number theory and physics]] | [[분류:Number theory and physics]] | ||
[[분류:dilogarithm]] | [[분류:dilogarithm]] | ||
| + | [[분류:migrate]] | ||
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| + | ==메타데이터== | ||
| + | ===위키데이터=== | ||
| + | * ID : [https://www.wikidata.org/wiki/Q7269036 Q7269036] | ||
| + | ===Spacy 패턴 목록=== | ||
| + | * [{'LOWER': 'quantum'}, {'LEMMA': 'dilogarithm'}] | ||
2021년 2월 17일 (수) 03:08 기준 최신판
introduction
Knot and invariants from quantum dilogarithm
- [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
Teschner's version
- \(b\in \R_{>0}\)
- \(G_b(z)\)
- \(G_b(z+Q)=G_b(z)(1-e^{2\pi ib z})(1-e^{2\pi ib^{-1}z})\), where \(Q=b+b^{-1}\)
- Manufacturing matrices from lower ranks
- Fermionic summation formula
- asymptotic analysis of basic hypergeometric series
- Kashaev's volume conjecture
computational resource
- https://drive.google.com/file/d/0B8XXo8Tve1cxQ09YeHM2ellGS1U/view
- http://math-www.uni-paderborn.de/~axel/graphs/
메타데이터
위키데이터
- ID : Q7269036
Spacy 패턴 목록
- [{'LOWER': 'quantum'}, {'LEMMA': 'dilogarithm'}]