Ideal Polyhedra

David Futer; Efstratia Kalfagianni; Jessica Purcell

doi:10.1007/978-3-642-33302-6_3

Ideal Polyhedra

David Futer
, Efstratia Kalfagianni
, Jessica Purcell

Research output: Chapter in Book/Report/Conference proceeding › Chapter (Book) › Research › peer-review

Abstract

Recall that M_A = S³\\S_A is S ³ cut along the surface S_A. In the last chapter, starting with a link diagram D(K), we obtained a prime decomposition of M_A into 3-balls. One of our goals in this chapter is to show that, if D(K) is A-adequate (see Definition 1.1 on p. 4), each of these balls is a checkerboard colored ideal polyhedron with 4-valent vertices.

Original language	English
Title of host publication	Guts of Surfaces and the Colored Jones Polynomial
Publisher	Springer-Verlag London Ltd.
Pages	35-51
Number of pages	17
ISBN (Print)	9783642333019
DOIs	https://doi.org/10.1007/978-3-642-33302-6_3
Publication status	Published - 1 Jan 2013
Externally published	Yes

Publication series

Name	Lecture Notes in Mathematics
Volume	2069
ISSN (Print)	0075-8434
ISSN (Electronic)	1617-9692

Keywords

Directed Edge
Directed Spine
Link Diagram
Prime Decomposition
State Circle

Access to Document

10.1007/978-3-642-33302-6_3

Cite this

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N2 - Recall that MA = S3\\SA is S 3 cut along the surface SA. In the last chapter, starting with a link diagram D(K), we obtained a prime decomposition of MA into 3-balls. One of our goals in this chapter is to show that, if D(K) is A-adequate (see Definition 1.1 on p. 4), each of these balls is a checkerboard colored ideal polyhedron with 4-valent vertices.

AB - Recall that MA = S3\\SA is S 3 cut along the surface SA. In the last chapter, starting with a link diagram D(K), we obtained a prime decomposition of MA into 3-balls. One of our goals in this chapter is to show that, if D(K) is A-adequate (see Definition 1.1 on p. 4), each of these balls is a checkerboard colored ideal polyhedron with 4-valent vertices.

KW - Directed Edge

KW - Directed Spine

KW - Link Diagram

KW - Prime Decomposition

KW - State Circle

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U2 - 10.1007/978-3-642-33302-6_3

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M3 - Chapter (Book)

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T3 - Lecture Notes in Mathematics

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EP - 51

BT - Guts of Surfaces and the Colored Jones Polynomial

PB - Springer-Verlag London Ltd.

ER -

Ideal Polyhedra

Abstract

Publication series

Keywords

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