Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Nancy C. Wrinkle"'
In this work, we study the cellular decomposition of $S$ induced by a filling pair of curves $v$ and $w$, $Dec_{v,w}(S) = S - (v \cup w)$, and its connection to the distance function $d(v,w)$ in the curve graph of a closed orientable surface $S$ of g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72b49f03ab29e63ca86c87e377c2e722
http://arxiv.org/abs/1809.07385
http://arxiv.org/abs/1809.07385
Autor:
Nancy C. Wrinkle, Joan S. Birman
Publikováno v:
Journal of Knot Theory and Its Ramifications. :293-309
Let $f:S^1\to R$ be a generic map. We may use $f$ to define a new map $\tilde{f}:S^1\to R^3$ by $\tilde{f}(t) = (-f(t),f'(t),-f''(t))$, and if $f$ is an embedding then the image of $\tilde{f}$ will be a knot. Knots defined by such parametrizations ar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7448c260a50e40f2613212609542f920
https://doi.org/10.1142/s0218216500000141
https://doi.org/10.1142/s0218216500000141
Publikováno v:
Geom. Topol. 10, no. 4 (2006), 2055-2115
In 1974, Gehring posed the problem of minimizing the length of two linked curves separated by unit distance. This constraint can be viewed as a measure of thickness for links, and the ratio of length over thickness as the ropelength. In this paper we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0249ffd837209d8616efbbaf2e3c7481
Autor:
Nancy C. Wrinkle, Joan S. Birman
Publikováno v:
J. Differential Geom. 55, no. 2 (2000), 325-354
Final revision. To appear in the Journal of Differential Geometry. This paper studies knots that are transversal to the standard contact structure in $\reals^3$, bringing techniques from topological knot theory to bear on their transversal classifica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::446c385864af68cced4ea999237ebe2c
https://doi.org/10.4310/jdg/1090340880
https://doi.org/10.4310/jdg/1090340880