Genus topology of the cosmic microwave background from the WMAP 3-year data

2006/10/25 by J. R. Gott, J. Richard Gott III, W. N. Colley +7 · 2 citations
Physics and Astronomy · #Anisotropy #CMB cold spot #Cosmic background radiation #Cosmic microwave background #Cosmology and Gravitation Theories #Electrical and Electromagnetic Research #Galaxies: Formation, Evolution, Phenomena #Gaussian #Genus #Microwave #Topology (electrical circuits) #astro-ph

paper · pdf · doi:10.1111/j.1365-2966.2007.11730.x

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arxiv created 2006/10/25 · openalex publication_date 2007/05/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We have independently measured the genus topology of the temperature fluctuations in the cosmic microwave background seen in the Wilkinson Microwave Anisotropy Probe (WMAP) 3-yr data. A genus analysis of the WMAP data indicates consistency with Gaussian random-phase initial conditions, as predicted by standard inflation. We set 95 per cent confidence limits on non-linearities of −101 < fnl < 107. We also find that the observed low-ℓ(ℓ≤ 8) modes show a slight anticorrelation with the Galactic foreground, but not exceeding 95 per cent confidence, and that the topology defined by these modes is consistent with that of a Gaussian random-phase distribution (within 95 per cent confidence).

Citations

• Examination of Evidence for a Preferred Axis in the Cosmic Radiation Anisotropy
• A new inflationary universe scenario: A possible solution of the horizon, flatness, homogeneity, isotropy and primordial monopole problems
• Cosmology for Grand Unified Theories with Radiatively Induced Symmetry Breaking
• Is the Low-ℓMicrowave Background Cosmic?
• Non-Gaussian signatures in the temperature fluctuation observed by the Wilkinson Microwave Anisotropy Probe
• Testing for Non‐Gaussianity in theWilkinson Microwave Anisotropy ProbeData: Minkowski Functionals and the Length of the Skeleton
• First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Preliminary Maps and Basic Results
• High resolution foreground cleaned CMB map from WMAP
• On the large-angle anomalies of the microwave sky
• Final Results from theHubble Space TelescopeKey Project to Measure the Hubble Constant
• Detection of a non-Gaussian spot in WMAP
• Chaotic inflation

Cited by

• A high-significance detection of non-Gaussianity in theWMAP5-yr data using directional spherical wavelets
• Geometrical measures of non-Gaussianity generated from single field inflationary models