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pro vyhledávání: '"Matt Rathbun"'
Publikováno v:
Advances in Applied Clifford Algebras. 32
In this article we consider topological quotients of real and complex matrices by various subgroups and their connections to spacetime structures. These spaces are naturally interpreted as projective points. In particular, we look at quotients of non
Autor:
Brandy Doleshal, Matt Rathbun
Publikováno v:
Topology and its Applications. 324:108354
Publikováno v:
The College Mathematics Journal. 50:82-92
Autor:
Marion Campisi, Matt Rathbun
Publikováno v:
Pacific Journal of Mathematics. 296:305-319
If a graph is in bridge position in a 3-manifold so that the graph complement is irreducible and boundary irreducible, we generalize a result of Bachman and Schleimer to prove that the complexity of a surface properly embedded in the complement of th
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
Publikováno v:
Journal of the London Mathematical Society. 94:557-582
We characterize cutting arcs on fiber surfaces that produce new fiber surfaces, and the changes in monodromy resulting from such cuts. As a corollary, we characterize band surgeries between fibered links and introduce an operation called Generalized
A twisted torus knot is a knot obtained from a torus knot by twisting adjacent strands by full twists. The twisted torus knots lie in $F$, the genus 2 Heegaard surface for $S^3$. Primitive/primitive and primitive/Seifert knots lie in $F$ in a particu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6745d6115aa301d2aed6d1c41ae5477
http://arxiv.org/abs/1701.03835
http://arxiv.org/abs/1701.03835
Autor:
Matt Rathbun
Publikováno v:
Pacific Journal of Mathematics. 259:473-481
Let K be a tunnel number one, fibered link in S^3, with fiber F, and unknotting tunnel $\tau$. We show that $\tau$ can be isotoped to lie in F.
Comment: 6 pages, 2 figures
Comment: 6 pages, 2 figures
Autor:
Matt Rathbun, Kyle Kitzmiller
Publikováno v:
Involve, a Journal of Mathematics. 4:103-116
Author(s): Kitzmiller, Kyle; Rathbun, Matt | Abstract: We introduce ideas from geometric group theory related to boundaries of groups. This is a mostly expository paper. We consider the visual boundary of a free abelian group, and show that it is an
Autor:
Marion Moore Campisi, Matt Rathbun
Publikováno v:
Campisi, Marion Moore; & Rathbun, Matt. (2009). High distance knots in closed 3-manifolds. UC Davis: Department of Mathematics. Retrieved from: http://www.escholarship.org/uc/item/6jk256qh
Let M be a closed 3-manifold with a given Heegaard splitting. We show that after a single stabilization, some core of the stabilized splitting has arbitrarily high distance with respect to the splitting surface. This generalizes a result of Minsky, M
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5405edc89a32b4e91378f5fd7c7a4534
http://arxiv.org/abs/0911.3675
http://arxiv.org/abs/0911.3675