The Levine-Tristram signature: a survey
arXiv:1903.04477
Abstract
The Levine-Tristram signature associates to each oriented link $L$ in $S^3$ a function $Ï_L \colon S^1 \to \mathbb{Z}.$ This invariant can be defined in a variety of ways, and its numerous applications include the study of unlinking numbers and link concordance. In this survey, we recall the three and four dimensional definitions of $Ï_L$, list its main properties and applications, and give comprehensive references for the proofs of these statements.
18 pages