Zobrazeno 1 - 10 of 26 pro vyhledávání: '"Michelle Bucher"'
1
Integrality of volumes of representations
Autor: Michelle Bucher, Alessandra Iozzi, Marc Burger
Publikováno v: Mathematische Annalen, 381 (2)
Let M be an oriented complete hyperbolic n-manifold of finite volume. Using the definition of volume of a representation previously given by the authors in [3] we show that the volume of a representation ρ:π1(M)→Isom+(Hn), properly normalized, ta
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d4ecf5ea91bff7afc9e76f98092745dc
https://hdl.handle.net/20.500.11850/478052
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2
Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
Autor: Michelle Bucher, Caterina Campagnolo
Publikováno v: Geometriae dedicata, 213 (1), 107–119
Geometriae Dedicata
Geometriae Dedicata, Springer Verlag, 2020, ⟨10.1007/s10711-020-00570-2⟩
Geometriae Dedicata, 2020, ⟨10.1007/s10711-020-00570-2⟩
We present three new inequalities tying the signature, the simplicial volume and the Euler characteristic of surface bundles over surfaces. Two of them are true for any surface bundle, while the third holds on a specific family of surface bundles, na
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b4bfc8e472f74b96cf3b8837bf798a71
https://publikationen.bibliothek.kit.edu/1000137652
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3
Digital Twins and the Emerging Science of Self: Implications for Digital Health Experience Design and 'Small' Data
Autor: Kevin Wildenhaus, Amy Michelle Bucher, Brigid Byrd, Steven M. Schwartz
Publikováno v: Frontiers in Computer Science
Frontiers in Computer Science, Vol 2 (2020)
The technology currently available for quantifying various biometric, behavioral, emotional, cognitive, and psychological aspects of daily life has become increasingly diverse, accurate, and accessible as a result of ongoing and continuous improvemen
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5
Minimal exponential growth rates of metabelian Baumslag–Solitar groups and lamplighter groups
Autor: Alexey Talambutsa, Michelle Bucher
Publikováno v: Groups, Geometry, and Dynamics. 11:189-209
We prove that for any prime $p\geq 3$ the minimal exponential growth rate of the Baumslag-Solitar group $BS(1,p)$ and the lamplighter group $\mathcal{L}_p=(\mathbb{Z}/p\mathbb{Z})\wr \mathbb{Z}$ are equal. We also show that for $p=2$ this claim is no
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https://doi.org/10.4171/ggd/394
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6
Exponential growth rates of free and amalgamated products
Autor: Michelle Bucher, Alexey Talambutsa
Publikováno v: Israel Journal of Mathematics. 212:521-546
We prove that there is a gap between $\sqrt{2}$ and $(1+\sqrt{5})/2$ for the exponential growth rate of free products $G=A*B$ not isomorphic to the infinite dihedral group. For amalgamated products $G=A*_C B$ with $([A:C]-1)([B:C]-1)\geq2$, we show t
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64c5bd5316c103b4bd3b99cacddfa81f
https://doi.org/10.1007/s11856-016-1299-4
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7
The bounded Borel class and 3-manifold groups
Autor: Marc Burger, Michelle Bucher, Alessandra Iozzi
Publikováno v: Duke Math. J. 167, no. 17 (2018), 3129-3169
If $\Gamma\lt \operatorname{PSL}(2,\mathbb{C})$ is a lattice, we define an invariant of a representation $\Gamma\rightarrow\operatorname{PSL}(n,\allowbreak\mathbb{C})$ using the Borel class $\beta(n)\in\mathrm{H}_{\mathrm{c}}^{3}(\operatorname{PSL}(n
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3685aaa03391cd8d8db483a3f213bb44
https://doi.org/10.1215/00127094-2018-0038
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8
The norm of the Euler class
Autor: Michelle Bucher, Nicolas Monod
Publikováno v: Mathematische Annalen, Vol. 353, No 2 (2012) pp. 523-544
Mathematische Annalen
Math. Ann.
We prove that the norm of the Euler class E for flat vector bundles is $2^{-n}$ (in even dimension $n$, since it vanishes in odd dimension). This shows that the Sullivan--Smillie bound considered by Gromov and Ivanov--Turaev is sharp. We construct a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::40839a361c06f771c4e1f455ff7ca99f
http://doc.rero.ch/record/314609/files/208_2011_Article_694.pdf
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9
The simplicial volume of mapping tori of 3-manifolds
Autor: Christoforos Neofytidis, Michelle Bucher
We prove that any mapping torus of a closed 3-manifold has zero simplicial volume. When the fiber is a prime 3-manifold, classification results can be applied to show vanishing of the simplicial volume, however the case of reducible fibers is by far
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10
The simplicial volume of 3-manifolds with boundary
Autor: Roberto Frigerio, Michelle Bucher, Cristina Pagliantini
Publikováno v: Journal of Topology
We provide sharp lower bounds for the simplicial volume of compact $3$-manifolds in terms of the simplicial volume of their boundaries. As an application, we compute the simplicial volume of several classes of $3$-manifolds, including handlebodies an
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