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Hopf band
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Mathematics
Area of mathematics
Geometry and topology
Knot theory
Knot
Seifert surface
2026-10-07
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A
Hopf band is an
annulus
with one full twist whose boundary is
a
Hopf link
.
Plumbing
it with another band adds
a
generator to the
first
homology
of
a
Seifert surface
. Its core has self-
linking number
1
or
−
1
, depending on the twisting convention.
Ancestors
(7)
Seifert surface
Knot
Knot theory
Geometry and topology
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2012
/
iii
/
Paper 16
/
6
/
Solution
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