New invariants for virtual knots via spanning surfaces
We define three different types of spanning surfaces for knots in thickened surfaces. We use these to introduce new Seifert matrices, Alexander-type polynomials, genera, and a signature invariant. One of these Alexander polynomials extends to virtual knots and can obstruct a virtual knot from being...
Main Authors: | , , |
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Format: | Journal article |
Language: | English |
Published: |
World Scientific Publishing
2024
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