Describing the platycosms

Abstract

We study in detail the closed flat Riemannian 3-manifolds.

47 pages, 35 figures

References in corpus (7)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• A high resolution foreground cleaned CMB map from WMAP
• Is the Low CMB Quadrupole a Signature of Spatial Curvature?
• Cosmic microwave background constraints on multi-connected spherical spaces
• On Three-Dimensional Space Groups
• Tetra and Didi, the cosmic spectral twins
• Hearing the platycosms

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• Bounding the Temperatures of Black Holes Dual to Strongly Coupled Field Theories on Flat Spacetime
• Pre-Inflationary Spacetime in String Cosmology
• Inflation, Large Branes, and the Shape of Space
• Arrow of Time in String Theory
• Tetra and Didi, the cosmic spectral twins
• Black Hole Final State Conspiracies
• Connective C*-algebras
• Initial Conditions for Bubble Universes
• Harmonic Higgs Bundles and Coassociative ALE Fibrations
• Unitarity at Infinity and Topological Holography
• On the coverings of Euclidian manifolds ${\mathcal{B}}_1$ and ${\mathcal{B}}_2$
• (Z_2^k)-manifolds are isospectral on forms
• Singularities in and Stability of Ooguri-Vafa-Verlinde Cosmologies
• Cusps and Commensurability Classes of Hyperbolic 4-Manifolds
• The enumeration of coverings of closed orientable Euclidean manifolds $G_3$ and $G_5$
• The eta invariant and equivariant bordism of flat manifolds with cyclic holonomy group of odd prime order
• Generalized Hantzsche-Wendt Flat Manifolds