Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Neil R. Hoffman"'
Publikováno v:
Algebraic & Geometric Topology. 22:601-656
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::59b00fafe360e8bfafd3b34bf74b099d
http://arxiv.org/abs/2102.12524
http://arxiv.org/abs/2102.12524
Autor:
Eric Chesebro, Jason DeBlois, Neil R Hoffman, Christian Millichap, Priyadip Mondal, William Worden
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64c976b0d80c6edf724c297c441435ed
Autor:
Jessica S. Purcell, Neil R. Hoffman
Publikováno v:
Bulletin of the London Mathematical Society. 49:185-201
If a hyperbolic 3-manifold admits an exceptional Dehn filling, then the length of the slope of that Dehn filling is known to be at most six. However, the bound of six appears to be sharp only in the toroidal case. In this paper, we investigate slope
Autor:
Neil R. Hoffman, Genevieve S. Walsh
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 2:17-34
In a talk at the Cornell Topology Festival in 2004, W. Thurston discussed a graph which we call “The Big Dehn Surgery Graph”, B \mathcal {B} . Here we explore this graph, particularly the link of S 3 S^3 , and prove facts about the geometry and t
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 20:405-447
An irreducible $$3$$ -manifold with torus boundary either is a Seifert fibered space or admits at most three lens space fillings according to the Cyclic Surgery Theorem. We examine the sharpness of this theorem by classifying the non-hyperbolic manif
Publikováno v:
Illinois J. Math. 60, no. 1 (2016), 289-352
Dimofte, Gaiotto and Gukov introduced a powerful invariant, the 3D-index, associated to a suitable ideal triangulation of a 3-manifold with torus boundary components. The 3D-index is a collection of formal power series in $q^{1/2}$ with integer coeff
Publikováno v:
Boletín de la Sociedad Matemática Mexicana. 21:119-121
In our classification of non-hyperbolic knots in lens spaces with non-trivial Dehn surgeries to lens spaces, Theorem 13 of our work, we failed to acknowledge that the exteriors of the last three listed knot types may coincide. Since Theorem 13 only d
Autor:
Joseph Corneli, Neil R. Hoffman, Stephen Moseley, George Lee, Eric Schoenfeld, Nicholas Leger, Paul Holt
Publikováno v:
Journal of Geometric Analysis. 17:189-212
We prove the double bubble conjecture in the three-sphereS3 and hyperbolic three-spaceH3 in the cases where we can apply Hutchings theory: • InS3, when each enclosed volume and the complement occupy at least 10% of the volume ofS3. • inH3, when t
An L-space is a rational homology 3-sphere with minimal Heegaard Floer homology. We give the first examples of hyperbolic L-spaces with no symmetries. In particular, unlike all previously known L-spaces, these manifolds are not double branched covers
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::079265a74cc664516ce9a1bcda801a20
http://arxiv.org/abs/1407.7827
http://arxiv.org/abs/1407.7827