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Guts of Surfaces and the Colored Jones Polynomial

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

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Abstract

In the last 3 decades, there has been significant progress in 3-dimensional topology, due in large part to the application of new techniques from other areas of mathematics and from physics. On the one hand, ideas from geometry have led to geometric decompositions of 3-manifolds and to invariants such as the A-polynomial and hyperbolic volume. On the other hand, ideas from quantum physics have led to the development of invariants such as the Jones polynomial and colored Jones polynomials.

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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

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  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). Introduction. 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_1

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