"Quantum dilogarithm"의 두 판 사이의 차이

2013년 5월 30일 (목) 03:44 판

\(q=e^{-t}\) and as the t goes 0 (i.e. as q goes to 1) \[\sum_{n=0}^{\infty}\frac{q^{\frac{A}{2}n^2+cn}}{(q)_n}\sim\exp(\frac{C}{t})\]

[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

@@ 52번째 줄: / 52번째 줄: @@
 * [[Kashaev's volume conjecture|Kashaev's volume Conjecture]]<br>
-==expositions==
-* [http://www.math.jussieu.fr/%7Ekeller/publ/QuiverMutQuantDilogHandout.pdf Quiver mutations and quantum dilogarithm identities], presentation, Isle of Skye, June 27, 2011
-* [http://www.birs.ca/events/2010/5-day-workshops/10w5069/videos Quantum dilogarithm identities from quiver mutations], video of a talk given at Banff, September 9, 2010.
+[[분류:개인노트]]
-==articles==
-* Keller, http://arxiv.org/abs/1102.4148
-* Kashaev, http://arxiv.org/abs/1104.4630[[분류:개인노트]]
 [[Category:research topics]]
 [[분류:Number theory and physics]]
 [[분류:dilogarithm]]