"Kashaev's volume conjecture"의 두 판 사이의 차이
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<h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">introduction</h5> | <h5 style="line-height: 3.428em; margin: 0px; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">introduction</h5> | ||
| − | 1995 Kashaev | + | * 1995 Kashaev<br> |
| − | + | * 1997 <br> | |
| − | 1997 | + | * The hyperbolic volume of a knot complement can be calculated using the Jones polynimials of the ca<br> |
| − | + | * SU(2) connections on S^3-K should be sensitive to the flat SL_2(C) connection defining its hyperbolic structure<br> | |
| − | SU(2) connections on S^3-K should be sensitive to the flat SL_2(C) connection defining its hyperbolic | ||
| 59번째 줄: | 58번째 줄: | ||
* Murakami, Hitoshi. 2010. An Introduction to the Volume Conjecture. 1002.0126 (January 31). http://arxiv.org/abs/1002.0126. <br> | * Murakami, Hitoshi. 2010. An Introduction to the Volume Conjecture. 1002.0126 (January 31). http://arxiv.org/abs/1002.0126. <br> | ||
| − | * H Murakami, 2008, An introduction to the volume conjecture and its generalizations | + | * H. Murakami, 2008, An introduction to the volume conjecture and its generalizations |
| + | * H. Murakami, A quantum introduction to knot theory | ||
2012년 8월 26일 (일) 12:58 판
introduction
- 1995 Kashaev
- 1997
- 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
encyclopedia
- http://ko.wikipedia.org/wiki/
- http://en.wikipedia.org/wiki/Volume_conjecture
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
- 2010년 books and articles
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
[[4909919|]]
expositions
- 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
- 논문정리
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html[1]
- http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q=
- http://www.ams.org/mathscinet/search/publications.html?pg4=AUCN&s4=&co4=AND&pg5=TI&s5=&co5=AND&pg6=PC&s6=&co6=AND&pg7=ALLF&co7=AND&Submit=Search&dr=all&yrop=eq&arg3=&yearRangeFirst=&yearRangeSecond=&pg8=ET&s8=All&s7=
- http://dx.doi.org/10.1007/BF0239271,
question and answers(Math Overflow)
blogs
experts on the field