Hostname: page-component-cd9895bd7-8ctnn Total loading time: 0 Render date: 2024-12-28T14:28:11.607Z Has data issue: false hasContentIssue false

The volume of positive braid links

Published online by Cambridge University Press:  25 November 2014

SEBASTIAN BAADER*
Affiliation:
Universität Bern, Sidlerstrasse 5, CH-3012 Bern, Switzerland. e-mail: [email protected]

Abstract

Based on recent work by Futer, Kalfagianni and Purcell, we prove that the volume of sufficiently complicated positive braid links is proportional to the signature defect Δσ = 2g−σ.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

[1]Baader, S.Positive braids of maximal signature. Enseign. Math. 59 (2013), no. 34, 351358.CrossRefGoogle Scholar
[2]Futer, D., Kalfagianni, E. and Purcell, J.Guts of surfaces and the colored Jones polynomial. Lecture Notes in Math. vol. 2069 (Springer Verlag, Heidelberg, 2013).CrossRefGoogle Scholar
[3]Futer, D., Kalfagianni, E. and Purcell, J. Hyperbolic semi-adequate links. ArXiv: 1311.3008.Google Scholar
[4]Stallings, J.Constructions of fibred knots and links. Algebraic and geometric topology. Proc. Sympos. Pure Math. 32 (Amer. Math. Soc., Providence, R.I, 1978), 5560.CrossRefGoogle Scholar