Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Alexander Zupan"'
Publikováno v:
Pacific Journal of Mathematics
We seek to connect ideas in the theory of bridge trisections with other well-studied facets of classical knotted surface theory. First, we show how the normal Euler number can be computed from a tri-plane diagram, and we use this to give a trisection
Autor:
Wolfgang Allred, Manuel Aragon, Zack Dooley, Alexander Goldman, Yucong Lei, Isaiah Martinez, Nicholas Meyer, Devon Peters, Scott Warrander, Ana Wright, Alexander Zupan
Publikováno v:
Journal of Knot Theory and Its Ramifications.
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
Autor:
Jeffrey Meier, Alexander Zupan
The purpose of this paper is to study geometrically simply-connected homotopy 4-spheres by analyzing $n$-component links with a Dehn surgery realizing $\#^n(S^1\times S^2)$. We call such links $n$R-links. Our main result is that a homotopy 4-sphere t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9733a655f4b59d44d05b56fe810ed2f1
http://arxiv.org/abs/1904.08527
http://arxiv.org/abs/1904.08527
Autor:
Alexander Zupan
The Powell Conjecture offers a finite generating set for the genus $g$ Goeritz group, the group of automorphisms of $S^3$ that preserve a genus $g$ Heegaard surface $\Sigma_g$, generalizing a classical result of Goeritz in the case $g=2$. We study th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82eedb660fb581534760dd96edf24e5d
Autor:
Jeffrey Meier, Alexander Zupan
We prove that every smoothly embedded surface in a 4--manifold can be isotoped to be in bridge position with respect to a given trisection of the ambient 4--manifold; that is, after isotopy, the surface meets components of the trisection in trivial d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::93901c7e394d5b8300dcf629db0e39dc
https://europepmc.org/articles/PMC6205474/
https://europepmc.org/articles/PMC6205474/
Autor:
Alexander Zupan
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 159:79-88
We show that a torus knot which is not 2-bridge has a unique irreducible bridge splitting of positive genus.
Comment: 14 pages, 4 figures
Comment: 14 pages, 4 figures
Autor:
Jeffrey Meier, Alexander Zupan
Publikováno v:
Geom. Topol. 21, no. 3 (2017), 1583-1630
We show that the only closed 4-manifolds admitting genus two trisections are $S^2 \times S^2$ and connected sums of $S^1 \times S^3$, $\mathbb{CP}^2$, and $\overline{\mathbb{CP}}^2$ with two summands. Moreover, each of these manifolds admits a unique
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a972d50db52bb4ac2f681e4b8be87cbe
https://projecteuclid.org/euclid.gt/1510859207
https://projecteuclid.org/euclid.gt/1510859207
Autor:
Jeffrey Meier, Alexander Zupan
We summarize and expand known connections between the study of Dehn surgery on links and the study of trisections of closed, smooth 4-manifolds. In addition, we describe how the potential counterexamples to the Generalized Property R Conjecture given
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::256050ec2c0ed1fd1140bf360be7c335
Publikováno v:
International Mathematics Research Notices. 2015:7336-7356