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Guts of Surfaces and the Colored Jones Polynomial pp 53–72Cite as

I-Bundles and Essential Product Disks

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2069))

Abstract

Recall that we are trying to relate geometric and topological aspects of the knot complement \({S}^{3} \setminus K\) to quantum invariants and diagrammatic properties. So far, we have identified an essential state surface S A , and we have found a polyhedral decomposition of \({M}_{A}\,=\,{S}^{3}\setminus \setminus {S}_{A}\).

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Author information

Authors and Affiliations

  1. Department of Mathematics, Temple University, Philadelphia, PA, 19122, USA

    David Futer

  2. Department of Mathematics, Michigan State University, East Lansing, MI, 48824, USA

    Efstratia Kalfagianni

  3. Department of Mathematics, Brigham Young University, Provo, UT, 84602, USA

    Jessica Purcell

Authors
  1. David Futer
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  2. Efstratia Kalfagianni
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  3. Jessica Purcell
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Futer, D., Kalfagianni, E., Purcell, J. (2013). I-Bundles and Essential Product Disks. In: Guts of Surfaces and the Colored Jones Polynomial. Lecture Notes in Mathematics, vol 2069. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33302-6_4

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