Results 11 to 20 of about 27,485 (190)

Spherical Orbifolds for Cosmic Topology [PDF]

, 2012
Harmonic analysis is a tool to infer cosmic topology from the measured astrophysical cosmic microwave background CMB radiation. For overall positive curvature, Platonic spherical manifolds are candidates for this analysis.
Aurich R, Coxeter H S M, Edmonds A R, Einstein A, Kramer P, Kramer P, Kramer P, Kramer P, Kramer P, Kramer P, Kramer P, Kramer P, Larson D, Laue M v, Lax M, Misner Ch W, Peter Kramer, Ratcliffe J G, Seifert H, Sommerville D M Y, Weeks J, Wolf J A   +21 more
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Elliptic operators on manifolds with singularities and K-homology [PDF]

, 2005
It is well known that elliptic operators on a smooth compact manifold are classified by K-homology. We prove that a similar classification is also valid for manifolds with simplest singularities: isolated conical points and fibered boundary.
A. Connes, Anton Savin, B. A. Plamenevskii, B.-W. Schulze, G. Kasparov, G. W. Whitehead, J. Cuntz, M. Agranovich, M.A. Shubin, M.F. Atiyah, N. Higson, P. Baum, P. Haskell, R. Melrose, R. Melrose, R. Melrose, R.R. Mazzeo, V. Nazaikinskii, V. Nistor, V.E. Nazaikinskii, Yu. Egorov   +20 more
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A Comprehensive Scan for Heterotic SU(5) GUT models [PDF]

, 2013
Compactifications of heterotic theories on smooth Calabi-Yau manifolds remains one of the most promising approaches to string phenomenology. In two previous papers, http://arXiv.org/abs/arXiv:1106.4804 and http://arXiv.org/abs/arXiv:1202.1757, large ...
Anderson, Lara B., Constantin, Andrei, Gray, James, Lukas, Andre, Palti, Eran   +4 more
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The $L^2$-(co)homology of groups with hierarchies [PDF]

, 2014
We study group actions on manifolds that admit hierarchies, which generalizes the idea of Haken n-manifolds introduced by Foozwell and Rubinstein. We show that these manifolds satisfy the Singer conjecture in dimensions $n \le 4$. Our main application is
Okun, Boris, Schreve, Kevin
core   +1 more source

Topology of Platonic Spherical Manifolds: From Homotopy to Harmonic Analysis

, 2015
We carry out the harmonic analysis on four Platonic spherical three-manifolds with different topologies. Starting out from the homotopies (Everitt 2004), we convert them into deck operations, acting on the simply connected three-sphere as the cover, and ...
Kramer, Peter
core   +2 more sources

Symmetries of the Dirac operators associated with covariantly constant Killing-Yano tensors [PDF]

, 2003
The continuous and discrete symmetries of the Dirac-type operators produced by particular Killing-Yano tensors are studied in manifolds of arbitrary dimensions. The Killing-Yano tensors considered are covariantly constant and realize certain square roots
Atiyah M, Berezin F A, Boutaleb-Joutei H, Carter B, Cot?escu I I, Cot?escu I I, Cot?escu I I, Floyd R, Gaeta G, Gibbons G W, Ion I Cotaescu, Kamran N, Klishevich V V, Klishevich V V, Lawson H B, McLenaghan R G, Mihai Visinescu, Penrose R, Rietdijk R H, Salingaros N, Vaman D, Van Proeyen A, Yano K   +22 more
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Discrete Symmetries of Complete Intersection Calabi-Yau Manifolds

, 2017
In this paper, we classify non-freely acting discrete symmetries of complete intersection Calabi- Yau manifolds and their quotients by freely-acting symmetries.
Lukas, Andre, Mishra, Challenger
core   +1 more source

Conical limit points and the Cannon-Thurston map [PDF]

, 2016
Let $G$ be a non-elementary word-hyperbolic group acting as a convergence group on a compact metrizable space $Z$ so that there exists a continuous $G$-equivariant map $i:\partial G\to Z$, which we call a \emph{Cannon-Thurston map}.
Jeon, Woojin, Kapovich, Ilya, Leininger, Christopher, Ohshika, Ken'ichi   +3 more
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Crystallographic actions on contractible algebraic manifolds

, 2014
We study properly discontinuous and cocompact actions of a discrete subgroup $\Gamma$ of an algebraic group $G$ on a contractible algebraic manifold $X$.
Dekimpe, Karel, Petrosyan, Nansen
core   +1 more source

Index type invariants for twisted signature complexes and homotopy invariance [PDF]

, 2013
For a closed, oriented, odd dimensional manifold $X$, we define the rho invariant $\rho(X,E,H)$ for the twisted odd signature operator valued in a flat hermitian vector bundle $E$, where $H = \sum i^{j+1} H_{2j+1}$ is an odd-degree closed differential ...
Benameur, Moulay Tahar, Mathai, Varghese
core   +3 more sources