매듭이론 (knot theory)

 

 

개요

• isotopy
• 라이데마이스터 변형

 

 

예

• trivial knot
• Hopf link
• figure 8 knot
• trefoil knot

 

 

불변량

• 알렉산더-콘웨이 다항식
  
• 존스 다항식
  
• 바실리예프 다항식
  

 

 

재미있는 사실

 

• Math Overflow http://mathoverflow.net/search?q=
• 네이버 지식인 http://kin.search.naver.com/search.naver?where=kin_qna&query=

 

 

역사

 

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

 

 

메모

• http://www.hanyang.ac.kr/admission/scholar/2004/13-ho/sub2_3.htm

 

 

 

 

수학용어번역

• 단어사전 http://www.google.com/dictionary?langpair=en%7Cko&q=
• 발음사전 http://www.forvo.com/search/
• 대한수학회 수학 학술 용어집
  
  • http://mathnet.kaist.ac.kr/mathnet/math_list.php?mode=list&ftype=eng_term&fstr=
• 남·북한수학용어비교
• 대한수학회 수학용어한글화 게시판

 

 

사전 형태의 자료

• http://ko.wikipedia.org/wiki/매듭_이론
• [1]http://en.wikipedia.org/wiki/knot_theory
• http://en.wikipedia.org/wiki/List_of_knot_theory_topics
• http://en.wikipedia.org/wiki/Link_(knot_theory)
• http://en.wikipedia.org/wiki/Reidemeister_move
• http://ko.wikipedia.org/wiki/
• http://en.wikipedia.org/wiki/
• http://www.wolframalpha.com/input/?i=
• NIST Digital Library of Mathematical Functions
• The On-Line Encyclopedia of Integer Sequences
  
  • http://www.research.att.com/~njas/sequences/?q=

 

 

관련논문 및 에세이

• The Jones Polynomial
  
  • V.Jones, 2005-8[2]
• 매듭론
  
  • 고기형, 대한수학회지 2000-11
• Knot and physics
  
  • Kauffman, 1989
    
• Quantum field theory and the Jones polynomial
  
  • Edward Witten, Comm. Math. Phys. Volume 121, Number 3 (1989), 351-399

• On knot invariants related to some statistical mechanical models.
  
  • V. F. R. Jones, 1989

• http://www.jstor.org/action/doBasicSearch?Query=
• http://www.ams.org/mathscinet
• http://dx.doi.org/

 

 

관련도서

• The Geometry and Physics of Knots
  
  • Atiyah, Michael

• 도서내검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/contentSearch.do?query=
• 도서검색
  
  • http://books.google.com/books?q=
  • http://book.daum.net/search/mainSearch.do?query=
  • http://book.daum.net/search/mainSearch.do?query=

 

 

관련기사

• Unknotting knot theory
  
  • Julie Rehmeyer, ScienceNews, October 31st, 2008
    
• 네이버 뉴스 검색 (키워드 수정)
  
  • http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
  • http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=
  • http://news.search.naver.com/search.naver?where=news&x=0&y=0&sm=tab_hty&query=

 

 

블로그

• 구글 블로그 검색
  
  • http://blogsearch.google.com/blogsearch?q=
• 네이버 오늘의과학
• 수학동아
• Mathematical Moments from the AMS
• BetterExplained