Knot theory

introduction

 

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

 

 

 

 

Knot theory and statistical mechanics

• Jones polynomial and \(U_q[\mathfrak{sl}(2)]\)
  
• Knot Theory and Statistical Mechanics
  
  • http://www.bkfc.net/altendor/KnotTheoryAndStatisticalMechanics.pdf
  • http://web.phys.ntu.edu.tw/phystalks/Wu.pdf
• Knot and physics
  
  • [1]http://siba2.unile.it/ese/issues/1/19/Notematv9supplp17.pdf

 

 

 

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

• http://www.google.com/search?hl=en&tbs=tl:1&q=

 

 

 

 

books

• 찾아볼 수학책
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://gigapedia.info/1/
• http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=

 

 

encyclopedia

• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/knot_theory
• http://en.wikipedia.org/wiki/Link_(knot_theory)
• http://en.wikipedia.org/wiki/
• Princeton companion to mathematics(Companion_to_Mathematics.pdf)

 

 

question and answers(Math Overflow)

• http://mathoverflow.net/search?q=
• http://mathoverflow.net/search?q=
• http://mathoverflow.net/search?q=

 

 

blogs

• 구글 블로그 검색
  
  • http://blogsearch.google.com/blogsearch?q=
  • http://blogsearch.google.com/blogsearch?q=
  • http://blogsearch.google.com/blogsearch?q=

 

 

articles

 

• 논문정리
• http://www.ams.org/mathscinet/search/publications.html?pg4=ALLF&s4=
• http://www.ams.org/mathscinet
• http://www.zentralblatt-math.org/zmath/en/
• http://pythagoras0.springnote.com/
• http://math.berkeley.edu/~reb/papers/index.html
• 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/

 

 

experts on the field

• http://arxiv.org/