A slope conjecture for links

作者:van der Veen R*
来源:Journal of Knot Theory and Its Ramifications, 2015, 24(14): 1550077.
DOI:10.1142/S0218216515500777

摘要

The slope conjecture [S. Garoufalidis, The degree of a q-holonomic sequence is a quadratic quasi-polynomial, Electron. J. Combin. 18 (2011) 4-27] gives a precise relation between the degree of the colored Jones polynomial of a knot and the boundary slopes of essential surfaces in the knot complement. In this paper, we propose a generalization of the slope conjecture to links. We prove the conjecture for all alternating or more generally adequate links. We also verify the conjecture for torus links.

  • 出版日期2015-12

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