[PDF.26am] Guts of Surfaces and the Colored Jones Polynomial (Lecture Notes in Mathematics)

Guts of Surfaces and the Colored Jones Polynomial (Lecture Notes in Mathematics)

[PDF.be17] Guts of Surfaces and the Colored Jones Polynomial (Lecture Notes in Mathematics)

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 | #7598801 in Books |  Springer |  2012-12-19 |  2012-12-19 | Original language:English | PDF # 1 |  9.25 x.44 x6.10l,.60 | File type: PDF | 170 pages

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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 is accessible to both researchers and graduate st

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 surface is from being a fiber for the knot; in particula...

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