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pro vyhledávání: '"Vito Felice Zenobi"'
Autor:
Vito Felice Zenobi
Publikováno v:
Journal of Noncommutative Geometry. 15:797-827
Let $\widetilde{X}$ be a smooth Riemannian manifold equipped with a proper, free, isometric and cocompact action of a discrete group $\Gamma$. In this paper we prove that the analytic surgery exact sequence of Higson-Roe for $\widetilde{X}$ is isomor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0a23efd666c19dac330e72f0b6aa5341
https://doi.org/10.4171/jncg/422
https://doi.org/10.4171/jncg/422
Autor:
Vito Felice Zenobi
Let $\iota\colon \mathcal{F}_0\to\mathcal{F}_1 $ be a suitably oriented inclusion of foliations over a manifold $M$, then we extend the construction of the lower shriek maps given by Hilsum and Skandalis to adiabatic deformation groupoid C*-algebras:
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::705aa8f7a6c0770c0d51a2960a18c28f
http://arxiv.org/abs/2201.10616
http://arxiv.org/abs/2201.10616
Autor:
Vito Felice Zenobi
Publikováno v:
Advances in Mathematics. 347:940-1001
In this paper we define new K-theoretic secondary invariants attached to a Lie groupoid G. The receptacle for these invariants is the K-theory of C r ⁎ ( G a d ∘ ) (where G a d ∘ is the adiabatic deformation G restricted to the interval [ 0 , 1
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::762ca24744f354376eabfe752836d8e6
https://doi.org/10.1016/j.aim.2019.03.003
https://doi.org/10.1016/j.aim.2019.03.003
Autor:
Vito Felice Zenobi, Thomas Schick
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
This paper contributes to the classification of positive scalar curvature metrics up to bordism and up to concordance. Let $M$ be a closed spin manifold of dimension $\ge 5$ which admits a metric with positive scalar curvature. We give lower bounds o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1511b10ab4a4dc95dd00ad4f325d8982
https://doi.org/10.3842/sigma.2020.129
https://doi.org/10.3842/sigma.2020.129
Autor:
Vito Felice Zenobi
Publikováno v:
Journal of Topology and Analysis. :329-361
In this paper we prove the existence of a natural mapping from the surgery exact sequence for topological manifolds to the analytic surgery exact sequence of N. Higson and J. Roe. This generalizes the fundamental result of Higson and Roe, but in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::afa25cdeda9a50022f7635dbea3a5d89
https://doi.org/10.1142/s179352531750011x
https://doi.org/10.1142/s179352531750011x
Autor:
Vito Felice Zenobi, Paolo Piazza
We define and study, under suitable assumptions, the fundamental class, the index class and the rho class of a spin Dirac operator on the regular part of a spin stratified pseudomanifold. More singular structures, such as singular foliations, are als
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b47813097a89f00b4008005cc5efe41e
http://arxiv.org/abs/1803.02697
http://arxiv.org/abs/1803.02697