Diagrams Without Non-prime Arcs

David Futer; Efstratia Kalfagianni; Jessica Purcell

doi:10.1007/978-3-642-33302-6_7

Diagrams Without Non-prime Arcs

David Futer, Efstratia Kalfagianni, Jessica Purcell

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

Abstract

In this chapter, which is independent from the remaining chapters, we will restrict ourselves to A-adequate diagrams D(K) for which the polyhedral decomposition includes no non-prime arcs or switches. In this case, one can simplify the statement of Theorem 5.14 and give an easier combinatorial estimate for the guts of M_A. This is done in Theorem 7.2, whose proof takes up the bulk of the chapter.

Original language	English
Title of host publication	Guts of Surfaces and the Colored Jones Polynomial
Publisher	Springer-Verlag London Ltd.
Pages	109-118
Number of pages	10
ISBN (Print)	9783642333019
DOIs	https://doi.org/10.1007/978-3-642-33302-6_7
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

Cell Complex
Diagrammatic Statement
Hyperbolic Geometry
Sample Application
State Circle

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10.1007/978-3-642-33302-6_7

Cite this

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AU - Purcell, Jessica

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AB - In this chapter, which is independent from the remaining chapters, we will restrict ourselves to A-adequate diagrams D(K) for which the polyhedral decomposition includes no non-prime arcs or switches. In this case, one can simplify the statement of Theorem 5.14 and give an easier combinatorial estimate for the guts of MA. This is done in Theorem 7.2, whose proof takes up the bulk of the chapter.

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KW - Sample Application

KW - State Circle

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PB - Springer-Verlag London Ltd.

ER -

Diagrams Without Non-prime Arcs

Abstract

Publication series

Keywords

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