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...

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Bibliographic Details
Main Authors: Juhasz, A, Ogasa, E, Kauffman, LH
Format: Journal article
Language:English
Published: World Scientific Publishing 2024

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