Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Hoffman, Neil R."'
Autor:
Chesebro, Eric, Chu, Michelle, DeBlois, Jason, Hoffman, Neil R., Mondal, Priyadip, Walsh, Genevieve S.
We introduce a class of cusped hyperbolic $3$-manifolds that we call mixed-platonic, composed of regular ideal hyperbolic polyhedra of more than one type, which includes certain previously-known examples. We establish basic facts about mixed-platonic
Externí odkaz:
http://arxiv.org/abs/2407.01708
Autor:
Hoffman, Neil R, Petersen, Kathleen L
Let $M$ be a Seifert fiber space with non-abelian fundamental group and admitting a triangulation with $t$ tetrahedra. We show that there is a non-abelian $\text{PSL}(2, \mathbb{F})$ quotient where $|\mathbb F| < c(2^{20t}3^{120t})$ for an absolute c
Externí odkaz:
http://arxiv.org/abs/2209.05478
Publikováno v:
J. of Topol. 15 (2022), Issue 4, 2352-2388
We prove that every cusped hyperbolic 3-manifold has a finite cover admitting infinitely many geometric ideal triangulations. Furthermore, every long Dehn filling of one cusp in this cover admits infinitely many geometric ideal triangulations. This c
Externí odkaz:
http://arxiv.org/abs/2102.12524
Autor:
Baker, Kenneth L., Hoffman, Neil R.
Myers shows that every compact, connected, orientable $3$--manifold with no $2$--sphere boundary components contains a hyperbolic knot. We use work of Ikeda with an observation of Adams-Reid to show that every $3$--manifold subject to the above condi
Externí odkaz:
http://arxiv.org/abs/2101.12259
Autor:
Chesebro, Eric, DeBlois, Jason, Hoffman, Neil R, Millichap, Christian, Mondal, Priyadip, Worden, William
Neumann and Reid conjecture that there are exactly three knot complements which admit hidden symmetries. This paper establishes several results that provide evidence for the conjecture. Our main technical tools provide obstructions to having infinite
Externí odkaz:
http://arxiv.org/abs/2009.14765
Autor:
Hoffman, Neil R
Publikováno v:
Proc. Amer. Math. Soc. Ser. B 9 (2022), 336-350
This paper completes a classification of the types of orientable and non-orientable cusps that can arise in the quotients of hyperbolic knot complements. In particular, $S^2(2,4,4)$ cannot be the cusp cross-section of any orbifold quotient of a hyper
Externí odkaz:
http://arxiv.org/abs/2001.05066
Publikováno v:
Algebr. Geom. Topol. 22 (2022) 601-656
In this paper we analyze symmetries, hidden symmetries, and commensurability classes of $(\epsilon, d_L)$-twisted knot complements, which are the complements of knots that have a sufficiently large number of twists in each of their twist regions. The
Externí odkaz:
http://arxiv.org/abs/1909.10571
Autor:
Haraway III, Robert, Hoffman, Neil R
We show that the problem of showing that a cusped 3-manifold M is not hyperbolic is in NP, assuming $S^3$-RECOGNITION is in coNP. To this end, we show that IRREDUCIBLE TOROIDAL RECOGNITION lies in NP. Along the way we unconditionally recover SATELLIT
Externí odkaz:
http://arxiv.org/abs/1907.01675
This paper describes a Dehn surgery approach to generating asymmetric hyperbolic manifolds with two distinct lens space fillings. Such manifolds were first identified in work of Dunfield-Hoffman-Licata as the result of a computer search of the SnapPy
Externí odkaz:
http://arxiv.org/abs/1904.03268
Autor:
Baker, Kenneth L., Hoffman, Neil R.
Publikováno v:
Pacific J. Math. 305 (2020) 1-27
We exhibit an infinite family of knots in the Poincare homology sphere with tunnel number 2 that have a lens space surgery. Notably, these knots are not doubly primitive and provide counterexamples to a few conjectures. In the appendix, it is shown t
Externí odkaz:
http://arxiv.org/abs/1504.06682