Zobrazeno 1 - 10
of 50
pro vyhledávání: '"Jessica S. Purcell"'
Autor:
Thiago de Paiva, Jessica S Purcell
Publikováno v:
International Mathematics Research Notices.
We construct infinitely many families of Lorenz knots that are satellites but not cables, giving counterexamples to a conjecture attributed to Morton. We amend the conjecture to state that Lorenz knots that are satellite have companion a Lorenz knot,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b41e9f1f775df634a58b362da51886b5
https://doi.org/10.1093/imrn/rnac335
https://doi.org/10.1093/imrn/rnac335
Publikováno v:
Oberwolfach Reports. 17:465-516
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ac2f5be199432b4b8c1f39aa91f075aa
https://doi.org/10.4171/owr/2020/8
https://doi.org/10.4171/owr/2020/8
Autor:
Joshua A. Howie, Jessica S. Purcell
Publikováno v:
Transactions of the American Mathematical Society. 373:2349-2397
We consider links that are alternating on surfaces embedded in a compact 3-manifold. We show that under mild restrictions, the complement of the link decomposes into simpler pieces, generalising the polyhedral decomposition of alternating links of Me
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8025518205fd1e382a8c71bb5d067aea
https://doi.org/10.1090/tran/7929
https://doi.org/10.1090/tran/7929
Publikováno v:
Journal of the London Mathematical Society. 99:807-830
A biperiodic alternating link has an alternating quotient link in the thickened torus. In this paper, we focus on semi-regular links, a class of biperiodic alternating links whose hyperbolic structure can be immediately determined from a correspondin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6bddde0cc39425875bc3ec7260cf1a22
https://doi.org/10.1112/jlms.12195
https://doi.org/10.1112/jlms.12195
Autor:
Autumn E. Kent, Jessica S. Purcell
Publikováno v:
Mathematical Research Letters. 25:581-595
We show that there exist hyperbolic knots in the 3-sphere such that the set of points of large injectivity radius in the complement take up the bulk of the volume. More precisely, given a finite volume hyperbolic manifold, for any bound R>0 on inject
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::daa2da59294253052924bfecb6b68f73
https://doi.org/10.4310/mrl.2018.v25.n2.a12
https://doi.org/10.4310/mrl.2018.v25.n2.a12
Autor:
Jessica S. Purcell, Neil R. Hoffman
Publikováno v:
Bulletin of the London Mathematical Society. 49:185-201
If a hyperbolic 3-manifold admits an exceptional Dehn filling, then the length of the slope of that Dehn filling is known to be at most six. However, the bound of six appears to be sharp only in the toroidal case. In this paper, we investigate slope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::99293fd2694c6afaba1a03daf9e843bc
https://doi.org/10.1112/blms.12000
https://doi.org/10.1112/blms.12000
Autor:
Darlan Girão, Jessica S. Purcell
Publikováno v:
Algebr. Geom. Topol. 20, no. 2 (2020), 987-1014
Associated to every state surface for a knot or link is a state graph, which embeds as a spine of the state surface. A state graph can be decomposed along cut-vertices into graphs with induced planar embeddings. Associated with each such planar graph
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6df3b0bb0452b7da2b0c25ab3783bc90
http://arxiv.org/abs/1902.01524
http://arxiv.org/abs/1902.01524
Publikováno v:
Knots, Low-Dimensional Topology and Applications ISBN: 9783030160302
We survey some tools and techniques for determining geometric properties of a link complement from a link diagram. In particular, we survey the tools used to estimate geometric invariants in terms of basic diagrammatic link invariants. We focus on de
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::30a9b9b5e17006ade72598c4a2dc3955
https://doi.org/10.1007/978-3-030-16031-9_1
https://doi.org/10.1007/978-3-030-16031-9_1
Autor:
Jessica S. Purcell
This book provides an introduction to hyperbolic geometry in dimension three, with motivation and applications arising from knot theory. Hyperbolic geometry was first used as a tool to study knots by Riley and then Thurston in the 1970s. By the 1980s
Autor:
Alexander Zupan, Jessica S. Purcell
Publikováno v:
Proceedings of the American Mathematical Society. 145:1805-1818
A theorem of Jorgensen and Thurston implies that the volume of a hyperbolic 3–manifold is bounded below by a linear function of its Heegaard genus. Heegaard surfaces and bridge surfaces often exhibit similar topological behavior; thus it is natural
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d649ef41af9b08242ecdaa32fa05928b
https://doi.org/10.1090/proc/13327
https://doi.org/10.1090/proc/13327