"Kashaev's volume conjecture"의 두 판 사이의 차이
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(피타고라스님이 이 페이지의 위치를 <a href="/pages/3997391">Knot theory</a>페이지로 이동하였습니다.) |
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| 4번째 줄: | 4번째 줄: | ||
1997 | 1997 | ||
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| + | SU(2) connections on S^3-K should be sensitive to the flat SL_2(C) connection defining its hyperbolic st | ||
| 55번째 줄: | 57번째 줄: | ||
* [http://www.math.columbia.edu/%7Edpt/speaking/hypvol.ps Hyperbolic volume and the Jones polynomial] ([http://www.math.columbia.edu/%7Edpt/speaking/hypvol.pdf PDF]), notes from a lecture at MSRI, December 2000. [http://www.math.columbia.edu/%7Edpt/speaking/Grenoble.pdf 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.<br> | * [http://www.math.columbia.edu/%7Edpt/speaking/hypvol.ps Hyperbolic volume and the Jones polynomial] ([http://www.math.columbia.edu/%7Edpt/speaking/hypvol.pdf PDF]), notes from a lecture at MSRI, December 2000. [http://www.math.columbia.edu/%7Edpt/speaking/Grenoble.pdf 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.<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 | |
| 64번째 줄: | 67번째 줄: | ||
<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%;">articles</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%;">articles</h5> | ||
| − | * | + | * 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 |
| − | |||
* [http://projecteuclid.org/euclid.em/1087329235 Volume Conjecture and Asymptotic Expansion of q-Series]<br> | * [http://projecteuclid.org/euclid.em/1087329235 Volume Conjecture and Asymptotic Expansion of q-Series]<br> | ||
** Kazuhiro Hikami, Experiment. Math. Volume 12, Number 3 (2003), 319-338 | ** Kazuhiro Hikami, Experiment. Math. Volume 12, Number 3 (2003), 319-338 | ||
| 73번째 줄: | 75번째 줄: | ||
* [http://projecteuclid.org/euclid.em/1057777432 Kashaev's Conjecture and the Chern-Simons Invariants of Knots and Links]<br> | * [http://projecteuclid.org/euclid.em/1057777432 Kashaev's Conjecture and the Chern-Simons Invariants of Knots and Links]<br> | ||
** Hitoshi Murakami, Jun Murakami, Miyuki Okamoto, Toshie Takata, and Yoshiyuki Yokota, 2002 | ** Hitoshi Murakami, Jun Murakami, Miyuki Okamoto, Toshie Takata, and Yoshiyuki Yokota, 2002 | ||
| + | * [http://arxiv.org/abs/math-ph/0105039 Hyperbolic Structure Arising from a Knot Invariant], 2001 | ||
* [http://dx.doi.org/10.1007/BF02392716 The colored Jones polynomials and the simplicial volume of a knot]<br> | * [http://dx.doi.org/10.1007/BF02392716 The colored Jones polynomials and the simplicial volume of a knot]<br> | ||
** J.Murakami, H.Murakami,, Acta Math. 186 (2001), 85–104 | ** J.Murakami, H.Murakami,, Acta Math. 186 (2001), 85–104 | ||
| 78번째 줄: | 81번째 줄: | ||
* [http://arxiv.org/abs/math/0009165 On the volume conjecture for hyperbolic knots]<br> | * [http://arxiv.org/abs/math/0009165 On the volume conjecture for hyperbolic knots]<br> | ||
** Yoshiyuki Yokota, 2000 | ** Yoshiyuki Yokota, 2000 | ||
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| − | |||
* [http://dx.doi.org/10.1023/A:1007364912784 The hyperbolic volume of knots from quantum dilogarithm]<br> | * [http://dx.doi.org/10.1023/A:1007364912784 The hyperbolic volume of knots from quantum dilogarithm]<br> | ||
** R. M. Kashaev, 1996 | ** R. M. Kashaev, 1996 | ||
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* [[2010년 books and articles|논문정리]] | * [[2010년 books and articles|논문정리]] | ||
| 95번째 줄: | 92번째 줄: | ||
* http://front.math.ucdavis.edu/search?a=&t=&c=&n=40&s=Listings&q= | * 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://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/ | + | * http://dx.doi.org/10.1007/BF0239271, |
2011년 9월 22일 (목) 11:31 판
introduction
1995 Kashaev
1997
SU(2) connections on S^3-K should be sensitive to the flat SL_2(C) connection defining its hyperbolic st
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
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