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pro vyhledávání: '"Silver, Daniel S."'
Autor:
Silver, Daniel S., Traldi, Lorenzo
We answer a question raised in ``Peripheral elements in reduced Alexander modules'' [J. Knot Theory Ramifications 31 (2022), 2250058]. We also correct a minor error in that paper.
Comment: v1: prepublication version. Changes may be made before p
Comment: v1: prepublication version. Changes may be made before p
Externí odkaz:
http://arxiv.org/abs/2408.13267
The core group of a classical link was introduced independently by A.J. Kelly in 1991 and M. Wada in 1992. It is a link invariant defined by a presentation involving the arcs and crossings of a diagram, related to Wirtinger's presentation of the fund
Externí odkaz:
http://arxiv.org/abs/2311.02048
Autor:
Silver, Daniel S., Williams, Susan G.
The (torsion) complexity of a finite signed graph is defined to be the order of the torsion subgroup of the abelian group presented by its Laplacian matrix. When $G$ is $d$-periodic (i.e., $G$ has a free ${\mathbb Z}^d$-action by graph automorphisms
Externí odkaz:
http://arxiv.org/abs/2008.05665
Autor:
Silver, Daniel S., Williams, Susan G.
Using a combinatorial argument, we prove the well-known result that the Wirtinger and Dehn presentations of a link in 3-space describe isomorphic groups. The result is not true for links $\ell$ in a thickened surface $S \times [0,1]$. Their precise r
Externí odkaz:
http://arxiv.org/abs/2005.01576
Autor:
Silver, Daniel S., Williams, Susan G.
Laplacian matrices of weighted graphs in surfaces $S$ are used to define module and polynomial invariants of $Z/2$-homologically trivial links in $S \times [0,1]$. Information about virtual genus is obtained.
Comment: 14 pages, 15 figures
Comment: 14 pages, 15 figures
Externí odkaz:
http://arxiv.org/abs/2002.10040
Autor:
Silver, Daniel S., Williams, Susan G.
A checkerboard graph of a special diagram of an oriented link is made a directed, edge-weighted graph in a natural way so that a principal minor of its Laplacian matrix is a Seifert matrix of the link. Doubling and weighting the edges of the graph pr
Externí odkaz:
http://arxiv.org/abs/1809.06492
The Goeritz matrix of a link is obtained from the Jacobian matrix of a modified Dehn presentation associated to a diagram using Fox's free differential calculus. When the diagram is special the Seifert matrix can also be determined from the presentat
Externí odkaz:
http://arxiv.org/abs/1808.10296
Autor:
Silver, Daniel S., Williams, Susan G.
A result about spanning forests for graphs yields a short proof of Krebes's theorem concerning embedded tangles in links.
Comment: Version 2 treats a previously neglected special case in the proof of Theorem 2.2, and has other minor revisions. 5
Comment: Version 2 treats a previously neglected special case in the proof of Theorem 2.2, and has other minor revisions. 5
Externí odkaz:
http://arxiv.org/abs/1710.10747
Autor:
Silver, Daniel S., Williams, Susan G.
The (torsion) complexity of a finite edge-weighted graph is defined to be the order of the torsion subgroup of the abelian group presented by its Laplacian matrix. When G is d-periodic (i.e., G has a free action of the rank-d free abelian group by gr
Externí odkaz:
http://arxiv.org/abs/1701.06097
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