Skip to main content

Recognizing Essential Product Disks

  • 921 Accesses

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

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.

Keywords

  • Euler Characteristic
  • Basic Building Block
  • Downstream Direction
  • State Circle
  • Jones Polynomial

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (Canada)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   49.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions
Fig. 6.1
Fig. 6.2
Fig. 6.5
Fig. 6.3
Fig. 6.4
Fig. 6.6
Fig. 6.7
Fig. 6.8
Fig. 6.9

Notes

  1. 1.

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

  2. 2.

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

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and Permissions

Copyright information

© 2013 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

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

Download citation