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Date: 2-7-2017
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Date: 15-8-2021
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Date: 13-7-2021
1330
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Given a Seifert form , choose a basis , ..., for as a -module so every element is uniquely expressible as
(1) |
with integer. Then define the Seifert matrix as the integer matrix with entries
(2) |
For example, the right-hand trefoil knot has Seifert matrix
(3) |
A Seifert matrix is not a knot invariant, but it can be used to distinguish between different Seifert surfaces for a given knot.
REFERENCES:
Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 200-203, 1976.
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