Determinant of the OU matrix of a braid diagram
In this paper, we define the OU matrix of a braid diagram and discuss how the OU matrix reflects the warping degree or the layeredness of the braid diagram, and show that the determinant of the OU matrix of a layered braid diagram is the product of the determinants of the layers. We also introduce i...
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| Sprache: | eng |
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| Zusammenfassung: | In this paper, we define the OU matrix of a braid diagram and discuss how the
OU matrix reflects the warping degree or the layeredness of the braid diagram,
and show that the determinant of the OU matrix of a layered braid diagram is
the product of the determinants of the layers. We also introduce invariants of
positive braids which are derived from the OU matrix. |
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| DOI: | 10.48550/arxiv.2410.17778 |