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Guts of Surfaces and the Colored Jones Polynomial

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...

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書誌詳細
主要な著者: Futer, David. (著者, http://id.loc.gov/vocabulary/relators/aut), Kalfagianni, Efstratia. (http://id.loc.gov/vocabulary/relators/aut), Purcell, Jessica. (http://id.loc.gov/vocabulary/relators/aut)
団体著者: SpringerLink (Online service)
フォーマット: 電子媒体 eBook
言語:English
出版事項: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
版:1st ed. 2013.
シリーズ:Lecture Notes in Mathematics, 2069
主題:
Manifolds (Mathematics).
Complex manifolds.
Hyperbolic geometry.
Manifolds and Cell Complexes (incl. Diff.Topology).
Hyperbolic Geometry.
オンライン･アクセス:https://doi.org/10.1007/978-3-642-33302-6
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目次:
  • 1 Introduction
  • 2 Decomposition into 3–balls
  • 3 Ideal Polyhedra
  • 4 I–bundles and essential product disks
  • 5 Guts and fibers
  • 6 Recognizing essential product disks
  • 7 Diagrams without non-prime arcs
  • 8 Montesinos links
  • 9 Applications
  • 10 Discussion and questions.

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