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Autor:
Jessica E. Banks
Publikováno v:
The Mathematical Gazette. 102:1-12
Is the shortest path from A to B the straight line between them? Your first response might be to think it's obviously so. But in fact you know that it's not quite that straightforward. Your sat-nav knows it's not that straightforward. It asks whether
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https://explore.openaire.eu/search/publication?articleId=doi_________::47d6283f7d13ca55de20c3c307b89ff4
https://doi.org/10.1017/mag.2018.2
https://doi.org/10.1017/mag.2018.2
Autor:
Jessica E. Banks
Publikováno v:
Bulletin of the London Mathematical Society. 49:604-629
We study the Birman exact sequence for compact 3-manifolds, obtaining a complete picture of the relationship between the mapping class group of the manifold and the mapping class group of the submanifold obtained by deleting an interior point. This c
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https://explore.openaire.eu/search/publication?articleId=doi_________::42305c3aa2aca5a7988b281aa9e297f8
https://doi.org/10.1112/blms.12051
https://doi.org/10.1112/blms.12051
Autor:
Jessica E. Banks, Matt Rathbun
Publikováno v:
Canadian Journal of Mathematics. 68:1201-1226
In "Tunnel one, fibered links", the second author showed that the tunnel of a tunnel number one, fibered link can be isotoped to lie as a properly embedded arc in the fiber surface of the link. In this paper, we analyze how the arc behaves under the
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb245db90ce4cb87fbde369d5eebb7c8
https://doi.org/10.4153/cjm-2016-002-1
https://doi.org/10.4153/cjm-2016-002-1
Autor:
Jessica E. Banks
We show that $|MS(L_1 # L_2)|=|MS(L_1)|\times|MS(L_2)|\times\mathbb{R}$ when $L_1$ and $L_2$ are any non-split and non-fibred links. Here $MS(L)$ denotes the Kakimizu complex of a link $L$, which records the taut Seifert surfaces for $L$. We also sho
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9fa903d632be1b63c909cee1da565e77
http://arxiv.org/abs/1109.0965
http://arxiv.org/abs/1109.0965
Autor:
Jessica E. Banks
We give a geometric proof of the following result of Juhasz. \emph{Let $a_g$ be the leading coefficient of the Alexander polynomial of an alternating knot $K$. If $|a_g
37 pages, 28 figures; v2 Main results generalised from alternating links to
37 pages, 28 figures; v2 Main results generalised from alternating links to
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::20cb76a1a2e4ca373d50b577aa36b86a
http://arxiv.org/abs/1101.1412
http://arxiv.org/abs/1101.1412
Autor:
Jessica E. Banks
Publikováno v:
Algebr. Geom. Topol. 11, no. 3 (2011), 1445-1454
We show that the Kakimizu complex of a knot may be locally infinite, answering a question of Przytycki--Schultens. We then prove that if a link $L$ only has connected Seifert surfaces and has a locally infinite Kakimizu complex then $L$ is a satellit
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7957b54457e73c53dc8eaec9a5e6237b