"Knot theory"의 두 판 사이의 차이

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1번째 줄: 1번째 줄:
The Yang-Baxter equation and invariants of links  Turaev
+
<h5>introduction</h5>
 
 
On knot invariants related to some statistical mechanical models
 
  
 
 
 
 
  
<h5>Kauffman's principle</h5>
+
* The Yang-Baxter equation and invariants of links  Turaev
 +
* On knot invariants related to some statistical mechanical models
  
 
 
 
 
11번째 줄: 10번째 줄:
 
 
 
 
  
<h5>Knot invariants and quantum groups</h5>
+
<h5>Kauffman's principle</h5>
  
* using the Boltzmann weights from the various exactly solvable models, we can discover an infinite series of invariants of knots
+
 
* so the problem is to find a nice set of Boltzmann weights which give non-trivial invariants
 
  
 
 
 
 
  
<h5>knot invariants</h5>
+
<h5 style="margin: 0px; line-height: 3.428em; color: rgb(34, 61, 103); font-family: 'malgun gothic',dotum,gulim,sans-serif; font-size: 1.166em; background-position: 0px 100%;">Knot theory and statistical mechanics</h5>
  
* Jones polynomial and Vassiliev invariants
+
* Jones polynomial and <math>U_q[\mathfrak{sl}(2)]</math><br>
 +
* [[Knot theory|Knot Theory]] and Statistical Mechanics<br>
 +
** http://www.bkfc.net/altendor/KnotTheoryAndStatisticalMechanics.pdf
 +
** http://web.phys.ntu.edu.tw/phystalks/Wu.pdf
 +
*  Knot and physics<br>
 +
** [http://siba2.unile.it/ese/issues/1/19/Notematv9supplp17.pdf ]http://siba2.unile.it/ese/issues/1/19/Notematv9supplp17.pdf
  
 
 
 
 
28번째 줄: 31번째 줄:
 
 
 
 
  
<h5>introduction</h5>
+
<h5>Knot invariants and quantum groups</h5>
 +
 
 +
* using the Boltzmann weights from the various exactly solvable models, we can discover an infinite series of invariants of knots
 +
* so the problem is to find a nice set of Boltzmann weights which give non-trivial invariants
  
 
 
 
 
 +
 +
<h5>knot invariants</h5>
 +
 +
* Jones polynomial and Vassiliev invariants
  
 
 
 
 
66번째 줄: 76번째 줄:
  
 
* http://ko.wikipedia.org/wiki/
 
* http://ko.wikipedia.org/wiki/
* http://en.wikipedia.org/wiki/
+
* http://en.wikipedia.org/wiki/knot_theory
* http://en.wikipedia.org/wiki/
+
* [http://en.wikipedia.org/wiki/Link_%28knot_theory%29 http://en.wikipedia.org/wiki/Link_(knot_theory)]
 
* http://en.wikipedia.org/wiki/
 
* http://en.wikipedia.org/wiki/
 
* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])
 
* Princeton companion to mathematics([[2910610/attachments/2250873|Companion_to_Mathematics.pdf]])

2010년 1월 28일 (목) 21:30 판

introduction

 

  • The Yang-Baxter equation and invariants of links  Turaev
  • On knot invariants related to some statistical mechanical models

 

 

Kauffman's principle

 

 

Knot theory and statistical mechanics

 

 

 

Knot invariants and quantum groups
  • using the Boltzmann weights from the various exactly solvable models, we can discover an infinite series of invariants of knots
  • so the problem is to find a nice set of Boltzmann weights which give non-trivial invariants

 

knot invariants
  • Jones polynomial and Vassiliev invariants

 

 

history

 

 

related items

 

 

books

 

 

encyclopedia

 

 

question and answers(Math Overflow)

 

 

blogs

 

 

articles

 

 

 

experts on the field

 

 

TeX