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Guts of surfaces and the colored Jones polynomial

저자: David Futer; Efstratia Kalfagianni; Jessica Purcell
출판사: Berlin : Springer, ©2013.
시리즈: Lecture notes in mathematics (Springer-Verlag), 2069.
판/형식:   전자도서 : 문서 : 영어모든 판과 형식 보기
데이터베이스:WorldCat
요약:
This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that the growth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We show that certain coefficients of the polynomial measure how far this  더 읽기…
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장르/형태: Electronic books
자료 유형: 문서, 인터넷 자료
문서 형식: 인터넷 자원, 컴퓨터 파일
모든 저자 / 참여자: David Futer; Efstratia Kalfagianni; Jessica Purcell
ISBN: 3642333028 9783642333026
OCLC 번호: 822868959
설명: 1 online resource (x, 170 p.) : ill. (some col.)
내용: Introduction --
Decomposition into 3-Balls --
Ideal Polyhedra --
I-Bundles and Essential Product Disks --
Guts and Fibers --
Recognizing Essential Product Disks --
Diagrams Without Non-prime Arcs --
Montesinos Links --
Applications --
Discussion and Questions.
일련 제목: Lecture notes in mathematics (Springer-Verlag), 2069.
책임: David Futer, Efstratia Kalfagianni, Jessica Purcell.
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The monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. This book proves that the  더 읽기…

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From the reviews: "A relationship between the geometry of knot complements and the colored Jones polynomial is given in this monograph. The writing is well organized and comprehensive, and the book 더 읽기…

 
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