Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Matt Mastin"'
Publikováno v:
Symmetry, Vol 4, Iss 1, Pp 129-142 (2012)
We consider the “intrinsic” symmetry group of a two-component link L, defined to be the image ∑(L) of the natural homomorphism from the standard symmetry group MCG(S3, L) to the product MCG(S3) × MCG(L). This group, first defined by Whitten in
Externí odkaz:
https://doaj.org/article/7df7028df31a41549f4588ac2d993475
Autor:
Rachel Whitaker, Jacob Rooney, Matt Mastin, Jason Parsley, Aja Johnson, Al LaPointe, Amelia Kelley, Meredith Perrie Casey, Eleanor Dannenberg, Whitney George, Michael Berglund, Jason Cantarella
Publikováno v:
Symmetry, Vol 4, Iss 1, Pp 143-207 (2012)
We present an elementary derivation of the “intrinsic” symmetry groups for links of 8 or fewer crossings. We show that standard invariants are enough to rule out all potential symmetries outside the symmetry group of the group of the link for all
Externí odkaz:
https://doaj.org/article/e318a84ac7684483b907c8c679f06787
We consider a natural model of random knotting- choose a knot diagram at random from the finite set of diagrams with n crossings. We tabulate diagrams with 10 and fewer crossings and classify the diagrams by knot type, allowing us to compute exact pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f96f5503d87ab1875c6aa9a1f4d87f55
Autor:
Matt Mastin
In this paper we formalize a combinatorial object for describing link diagrams called a Planar Diagram Code. PD-codes are used by the KnotTheory Mathematica package developed by Bar-Natan, et al. We present the set of PD-codes as a stand alone object
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93c024b3a64045ab40b7e9cfccc7e34d
http://arxiv.org/abs/1309.3288
http://arxiv.org/abs/1309.3288
Publikováno v:
Symmetry, Vol 4, Iss 1, Pp 129-142 (2012)
Symmetry
Volume 4
Issue 1
Pages 129-142
Symmetry
Volume 4
Issue 1
Pages 129-142
We consider the “intrinsic” symmetry group of a two-component link L, defined to be the image ∑(L) of the natural homomorphism from the standard symmetry group MCG(S3, L) to the product MCG(S3) × MCG(L). This group, first defined by Whitten in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d3a07ad86492c5585daf61b11d18fa80
Autor:
Michael Berglund, Jason Parsley, Rachel Whitaker, Jason Cantarella, Whitney George, Al LaPointe, Aja Johnson, Matt Mastin, Eleanor Dannenberg, Amelia Kelley, Meredith Perrie Casey, Jacob Rooney
Publikováno v:
Symmetry
Volume 4
Issue 1
Pages 143-207
Symmetry, Vol 4, Iss 1, Pp 143-207 (2012)
Volume 4
Issue 1
Pages 143-207
Symmetry, Vol 4, Iss 1, Pp 143-207 (2012)
We present an elementary derivation of the "intrinsic" symmetry groups for knots and links of 8 or fewer crossings. The standard symmetry group for a link is the mapping class group $\MCG(S^3,L)$ or $\Sym(L)$ of the pair $(S^3,L)$. Elements in this s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a32220598ea2ec4435e1de61f5310b3
http://arxiv.org/abs/1010.3234
http://arxiv.org/abs/1010.3234
Publikováno v:
Journal of Knot Theory and Its Ramifications. 23:1450008
We prove a version of symmetric criticality for ropelength-critical knots. Our theorem implies that a knot or link with a symmetric representative has a ropelength-critical configuration with the same symmetry. We use this to construct new examples o
Publikováno v:
Journal of Physics A: Mathematical & Theoretical; 10/7/2016, Vol. 49 Issue 40, p1-1, 1p