Quantum dilogarithm

introduction

• 틀:수학노트
• 틀:수학노트
• http://arxiv.org/abs/hep-th/9611117

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

related items

• Manufacturing matrices from lower ranks
• Fermionic summation formula
• asymptotic analysis of basic hypergeometric series
• Kashaev's volume conjecture

computational resource

• http://math-www.uni-paderborn.de/~axel/graphs/