Signature of a knot
id:
signature-of-a-knot-289-12531725
title:
Signature of a knot
text:
The signature of a knot is a topological invariant in knot theory. It may be computed from the Seifert surface. Given a knot K in the 3-sphere, it has a Seifert surface S whose boundary is K. The Seifert form of S is the pairing ϕ : H 1 × H 1 → Z given by taking the linking number lk where a , b ∈ H 1 and a + , b − indicate the translates of a and b respectively in the positive and negative directions of the normal bundle to S. Given a basis b 1 , . . . , b 2 g for H 1 the Seifert form can be
brand slug:
wiki
category slug:
encyclopedia
description:
Topological invariant in knot theory
original url:
https://en.wikipedia.org/wiki/Signature_of_a_knot
date created:
date modified:
2023-10-18T14:10:08Z
main entity:
{"identifier":"Q7512854","url":"https://www.wikidata.org/entity/Q7512854"}
image:
fields total:
13
integrity:
14