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Recognizing Essential Product Disks

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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

Theorem 5.14 reduces the problem of computing the Euler characteristic of the guts of M A to counting how many complex EPDs are required to span the I-bundle of the upper polyhedron. Our purpose in this chapter is to recognize such EPDs from the structure of the all-A state graph \({\mathbb{G}}_{A}\). The main result is Theorem 6.4, which describes the basic building blocks for such EPDs.

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Notes

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    Note: For grayscale versions of this chapter, the figures will show green faces as darker gray, orange faces as lighter gray.

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    In grayscale versions of this monograph, green will appear darker gray, orange lighter gray.

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© 2013 Springer-Verlag Berlin Heidelberg

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Futer, D., Kalfagianni, E., Purcell, J. (2013). Recognizing 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_6

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