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Homological Polynomial Coefficients and the Twist Number of Alternating Surface Links - MaRDI portal

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Homological Polynomial Coefficients and the Twist Number of Alternating Surface Links

From MaRDI portal
Publication:6354486

DOI10.2140/AGT.2022.22.3939arXiv2011.12274MaRDI QIDQ6354486

Author name not available (Why is that?)

Publication date: 24 November 2020

Abstract: For D a reduced alternating surface link diagram, we bound the twist number of D in terms of the coefficients of a polynomial invariant. To this end, we introduce a generalization of the homological Kauffman bracket defined by Krushkal. Combined with work of Futer, Kalfagianni, and Purcell, this yields a bound for the hyperbolic volume of a class of alternating surface links in terms of these coefficients.





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