Slopes of links and signature formulas
Date
2021
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Source Title
Contemporary Mathematics
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Publisher
American Mathematical Society
Volume
772
Issue
Pages
1 - 11
Language
English
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Abstract
We present a new invariant, called slope, of a colored link in an integral homology sphere and use this invariant to complete the signature formula for the splice of two links. We develop a number of ways of computing the slope and a few vanishing results. Besides, we discuss the concordance invariance of the slope and establish its close relation to the Conway polynomials, on the one hand, and to the Kojima-Yamasaki η-function (in the univariate case) and Cochran invariants, on the other hand. © 2021 by the American Mathematical Society.
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Book Title
Topology, geometry, and dynamics: V. A. Rokhlin-memorial