"Kashaev's volume conjecture"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
imported>Pythagoras0 |
imported>Pythagoras0 |
||
| 16번째 줄: | 16번째 줄: | ||
* [[quantum modular forms]] | * [[quantum modular forms]] | ||
* [[Volume of hyperbolic threefolds and L-values]] | * [[Volume of hyperbolic threefolds and L-values]] | ||
| + | |||
| + | |||
| + | ==computational resource== | ||
| + | * https://docs.google.com/file/d/0B8XXo8Tve1cxRmVVeXlVWU9xbVk/edit | ||
2013년 4월 23일 (화) 16:24 판
introduction
- The hyperbolic volume of a knot complement can be calculated using the Jones polynimials of the ca
- SU(2) connections on S^3-K should be sensitive to the flat SL_ 2(C) connection defining its hyperbolic structure
history
- 1995 Kashaev
- 1997 ?
- 2001(?) Murakami
computational resource
encyclopedia
expositions
- http://www.math.titech.ac.jp/~Jerome/090210%20workshop.pdf
- Hyperbolic volume and the Jones polynomial (PDF), notes from a lecture at MSRI, December 2000. Earlier notes (covering more material) from a lecture series at the Grenoble summer school “Invariants des noeuds et de variétés de dimension 3”, June 1999.
- Murakami, Hitoshi. 2010. An Introduction to the Volume Conjecture. 1002.0126 (January 31). http://arxiv.org/abs/1002.0126.
- H. Murakami, 2008, An introduction to the volume conjecture and its generalizations
- H. Murakami, A quantum introduction to knot theory
articles
- Generalized volume conjecture and the A-polynomials: The Neumann–Zagier potential function as a classical limit of the partition function , 2007 http://dx.doi.org/10.1016/j.geomphys.2007.03.008
- Volume Conjecture and Asymptotic Expansion of q-Series
- Kazuhiro Hikami, Experiment. Math. Volume 12, Number 3 (2003), 319-338
- Proof of the volume conjecture for torus knots
- R. M. Kashaev and O. Tirkkonen, 2003
- Kashaev's Conjecture and the Chern-Simons Invariants of Knots and Links
- Hitoshi Murakami, Jun Murakami, Miyuki Okamoto, Toshie Takata, and Yoshiyuki Yokota, 2002
- Hyperbolic Structure Arising from a Knot Invariant, 2001
- The colored Jones polynomials and the simplicial volume of a knot
- J.Murakami, H.Murakami,, Acta Math. 186 (2001), 85–104
- On the volume conjecture for hyperbolic knots
- Yoshiyuki Yokota, 2000
- The hyperbolic volume of knots from quantum dilogarithm
- R. M. Kashaev, 1996