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: | Juhasz, A, Ogasa, E, Kauffman, LH |
---|---|
Format: | Journal article |
Language: | English |
Published: |
World Scientific Publishing
2024
|
Similar Items
-
Knot invariants from Virasoro related representation and pretzel knots
by: D. Galakhov, et al.
Published: (2015-10-01) -
Knots and applications /
by: Kauffman, Louis H.
Published: (1995) -
Instantons and some concordance invariants of knots
by: Kronheimer, PB, et al.
Published: (2022) -
Instantons and some concordance invariants of knots
by: Kronheimer, PB, et al.
Published: (2021) -
Learning knot invariants across dimensions
by: Jessica Craven, Mark Hughes, Vishnu Jejjala, Arjun Kar
Published: (2023-02-01)