Manifolds and cell complexes Knot theory Concept
Seifert surface
Summary
A Seifert surface of a knot or link is a compact, connected, orientable surface in space whose boundary is the knot or link. Every oriented link has one, by an algorithm of Herbert Seifert from 1934. The least genus of a Seifert surface of a knot is the genus of the knot, a knot invariant. Seifert surfaces are also used to define the Alexander polynomial and the signature of a knot.
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| Tag | K866ND3WF7 |
|---|---|
| URI | m2://K866ND3WF7 |
| Kind | concept |
| Writing | W0 stub |
| MSC | 57K10 |
| Same as | |
| Changed | 2 November 2026 |
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