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pro vyhledávání: '"Agol, Ian"'
We show that the isometry group of a finite-volume hyperbolic 3-manifold acts simply transitively on many of its closed geodesics. Combining this observation with the Virtual Special Theorems of the first author and Wise, we show that every non-arith
Externí odkaz:
http://arxiv.org/abs/2409.08418
Autor:
Agol, Ian
In this note we prove that alternating chainmail links are L-space links. The proof is inspired by corresponding proofs for double branched covers of alternating links. We also more generally show that flat augmented chainmail links are generalized L
Externí odkaz:
http://arxiv.org/abs/2306.10918
Autor:
Agol, Ian, Zhang, Yue
We construct an invariant called guts for second homology classes in irreducible 3-manifolds with toral boundary and non-degenerate Thurston norm. We prove that the guts of second homology classes in each Thurston cone are invariant under a natural c
Externí odkaz:
http://arxiv.org/abs/2203.12095
Autor:
Agol, Ian, Pallete, Franco Vargas
Let $M$ be a hyperbolizable $3$-manifold with boundary, and let $\chi_0(M)$ be a component of the $PSL_2\mathbb{C}$-character variety of $M$ that contains the convex co-compact characters. We show that the peripheral map $i_*:\chi_0(M)\rightarrow\chi
Externí odkaz:
http://arxiv.org/abs/2202.07032
Autor:
Agol, Ian
In this note we show that ribbon concordance forms a partial ordering on the set of knots, answering a question of Gordon. The proof makes use of representation varieties of the knot groups to $SO(N)$ and relations between them induced by a ribbon co
Externí odkaz:
http://arxiv.org/abs/2201.03626
Autor:
Agol, Ian, Tsang, Chi Cheuk
We study the strongly connected components of the flow graph associated to a veering triangulation, and show that the infinitesimal components must be of a certain form, which have to do with subsets of the triangulation which we call `walls'. We sho
Externí odkaz:
http://arxiv.org/abs/2201.02706
Autor:
Agol, Ian
Publikováno v:
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Thesis (Ph. D.)--University of California, San Diego, 1998.
Vita. Includes bibliographical references (leaves 28-29).
Vita. Includes bibliographical references (leaves 28-29).
Externí odkaz:
http://wwwlib.umi.com/cr/ucsd/fullcit?p9906477
Autor:
Agol, Ian, Stover, Matthew
We describe a criterion for a real or complex hyperbolic lattice to admit a RFRS tower that consists entirely of congruence subgroups. We use this to show that certain Bianchi groups $\mathrm{PSL}(\mathcal{O}_d)$ are virtually fibered on congruence s
Externí odkaz:
http://arxiv.org/abs/1912.10283
Autor:
Agol, Ian, Jeon, BoGwang
This paper concerns with a rigidity of core geodesics in hyperbolic Dehn fillings. For instance, for an $n$-cusped hyperbolic $3$-manifold $M$ having non-symmetric cusp shapes, we show any Dehn filling of $M$ with sufficiently large coefficient is un
Externí odkaz:
http://arxiv.org/abs/1910.11159
Autor:
Agol, Ian, Freedman, Michael H.
A smooth embedding of a closed $3$-manifold $M$ in $\mathbb{R}^4$ may generically be composed with projection to the fourth coordinate to determine a Morse function on $M$ and hence a Heegaard splitting $M=X\cup_\Sigma Y$. However, starting with a He
Externí odkaz:
http://arxiv.org/abs/1906.03244