Representations of a Knot Group, Their Chern–Simons Invariants, and Their Reidemeister Torsions

Hitoshi Murakami,Yoshiyuki Yokota

doi:10.1007/978-981-13-1150-5_5

Representations of a Knot Group, Their Chern–Simons Invariants, and Their Reidemeister Torsions

Hitoshi Murakami, Yoshiyuki Yokota

https://doi.org/10.1007/978-981-13-1150-5_5

Copy DOI

Publication Date: Jan 1, 2018

Affiliation: Tohoku University, Tokyo Metropolitan University

#Chern Simons Invariant #Reidemeister Torsion + Show 7 more

Abstract
Full-Text
Similar Papers

Abstract

In this chapter, we describe representations of the fundamental group of a knot complement to \(\mathrm {SL}(2;\mathbb {C})\) by giving examples. We also give the definitions of the Chern–Simons invariant and the Reidemeister torsion associated with such a representation. We also give examples of calculation. We will explain relations of these invariants to the asymptotic behavior of the colored Jones polynomial in the next chapter.

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Similar Papers

Paper Title

Journal

Date

Author

View more papers

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.