Zobrazeno 1 - 9
of 9
pro vyhledávání: '"Leone Slavich"'
Publikováno v:
Proceedings of the London Mathematical Society. 123:636-648
In the present paper, we construct a cusped hyperbolic $4$-manifold with all cusp sections homeomorphic to the Hantzsche-Wendt manifold, which is a rational homology sphere. By a result of Gol\'enia and Moroianu, the Laplacian on $2$-forms on such a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66b27111413ad80a3080a5218858ca07
https://doi.org/10.1112/plms.12421
https://doi.org/10.1112/plms.12421
Publikováno v:
Geom. Topol. 24, no. 5 (2020), 2647-2674
We exhibit the first examples of compact orientable hyperbolic manifolds that do not have any spin structure. We show that such manifolds exist in all dimensions $n \geq 4$. The core of the argument is the construction of a compact orientable hyperbo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65c72c057bef09f24245f0e48dbaab95
https://doi.org/10.2140/gt.2020.24.2647
https://doi.org/10.2140/gt.2020.24.2647
Autor:
Leone Slavich, Stefano Riolo
Publikováno v:
Algebr. Geom. Topol. 19, no. 5 (2019), 2653-2676
We prove that there are at least 2 commensurability classes of minimal-volume hyperbolic 4-manifolds. Moreover, by applying a well-known technique due to Gromov and Piatetski-Shapiro, we build the smallest known non-arithmetic hyperbolic 4-manifold.<
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1c31bec260a97c0cec39bf36daf83296
https://doi.org/10.2140/agt.2019.19.2653
https://doi.org/10.2140/agt.2019.19.2653
Publikováno v:
Geometriae Dedicata
We show that every plumbing of disc bundles over surfaces whose genera satisfy a simple inequality may be embedded as a convex submanifold in some closed hyperbolic four-manifold. In particular its interior has a geometrically finite hyperbolic struc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6da746c6aeacd6647258d3657c049701
http://hdl.handle.net/11585/851826
http://hdl.handle.net/11585/851826
Publikováno v:
Mathematical Research Letters. 25:1305-1328
We prove that any arithmetic hyperbolic $n$-manifold of simplest type can either be geodesically embedded into an arithmetic hyperbolic $(n+1)$-manifold or its universal $\mathrm{mod}~2$ Abelian cover can.
20 pages; revised version, typos correc
20 pages; revised version, typos correc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::415903561f99592e8e1020491dcb1c61
https://doi.org/10.4310/mrl.2018.v25.n4.a12
https://doi.org/10.4310/mrl.2018.v25.n4.a12
Autor:
Leone Slavich
Publikováno v:
Proceedings of the American Mathematical Society. 145:1275-1285
We show that some hyperbolic 3-manifolds which are tessellated by copies of the regular ideal hyperbolic tetrahedron embed geodesically in a complete, finite volume, hyperbolic 4-manifold. This allows us to prove that the complement of the figure-eig
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d6bc66e1cb6c2125e0b19d8a29542654
https://doi.org/10.1090/proc/13272
https://doi.org/10.1090/proc/13272
Autor:
Leone Slavich, Alexander Kolpakov
Publikováno v:
Proceedings of the London Mathematical Society. 113:163-184
We develop a way of seeing a complete orientable hyperbolic 4-manifold M as an orbifold cover of a Coxeter polytope P ⊂ H 4 that has a facet colouring. We also develop a way of finding a totally geodesic sub-manifold N in M, and describing the resu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d27830617cff7813fe87837a7213ad54
https://doi.org/10.1112/plms/pdw025
https://doi.org/10.1112/plms/pdw025
Autor:
Leone Slavich
Publikováno v:
Algebr. Geom. Topol. 15, no. 2 (2015), 1175-1197
A finite-volume hyperbolic 3-manifold geometrically bounds if it is the geodesic boundary of a finite-volume hyperbolic 4-manifold. We construct here an example of non-compact, finite-volume hyperbolic 3-manifold that geometrically bounds. The 3-mani
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5cf8e84f26c22a4734b5c8c78af1939e
http://arxiv.org/abs/1402.2208
http://arxiv.org/abs/1402.2208
Autor:
Alexander Kolpakov, Leone Slavich
Publikováno v:
International Mathematical Research Notices
In this paper, for each finite group $G$, we construct explicitly a non-compact complete finite-volume arithmetic hyperbolic $4$-manifold $M$ such that $\mathrm{Isom}\,M \cong G$, or $\mathrm{Isom}^{+}\,M \cong G$. In order to do so, we use essential
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e4f000cb7e88e1e49c5c0207060a6c5