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The volume of positive braid links



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.



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[1]Baader, S.Positive braids of maximal signature. Enseign. Math. 59 (2013), no. 34, 351358.
[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).
[3]Futer, D., Kalfagianni, E. and Purcell, J. Hyperbolic semi-adequate links. ArXiv: 1311.3008.
[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.
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Mathematical Proceedings of the Cambridge Philosophical Society
  • ISSN: 0305-0041
  • EISSN: 1469-8064
  • URL: /core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society
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