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Alexander polynomial realization theorem
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Knot theory
Knot
Seifert surface
Seifert form
Seifert matrix
Alexander polynomial of a knot
2026-09-28
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Every
Laurent polynomial
f
(
t
)
∈
Z
[
t
±
1
]
satisfying
f
(
t
−
1
)
=
f
(
t
)
and
f
(
1
)
=
1
is the
Alexander polynomial of a knot
up to
multiplication
by
a
unit
±
t
k
.
Ancestors
(10)
Alexander polynomial of a knot
Seifert matrix
Seifert form
Seifert surface
Knot
Knot theory
Geometry and topology
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 112
/
1
/
iii
/
Solution
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