A note on the unknotting number and the region unknotting number of weaving knots
A weaving knot is an alternating knot whose minimal diagram is a closed braid of a lattice-like pattern. In this paper, the warping degree of a braid diagram is defined, and upper bounds of the unknotting number and the region unknotting number for some families of weaving knots are given by diagram...
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| creator | Shimizu, Ayaka Gill, Amrendra Joshi, Sahil |
| description | A weaving knot is an alternating knot whose minimal diagram is a closed braid
of a lattice-like pattern. In this paper, the warping degree of a braid diagram
is defined, and upper bounds of the unknotting number and the region unknotting
number for some families of weaving knots are given by diagrammatical and
combinatorial examination of the warping degree of weaving knot diagrams. |
| doi_str_mv | 10.48550/arxiv.2408.14938 |
| format | Article |
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of a lattice-like pattern. In this paper, the warping degree of a braid diagram
is defined, and upper bounds of the unknotting number and the region unknotting
number for some families of weaving knots are given by diagrammatical and
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is defined, and upper bounds of the unknotting number and the region unknotting
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of a lattice-like pattern. In this paper, the warping degree of a braid diagram
is defined, and upper bounds of the unknotting number and the region unknotting
number for some families of weaving knots are given by diagrammatical and
combinatorial examination of the warping degree of weaving knot diagrams.</abstract><doi>10.48550/arxiv.2408.14938</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Geometric Topology |
| title | A note on the unknotting number and the region unknotting number of weaving knots |
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