PBH abundance from random Gaussian curvature perturbations and a local
density threshold
May 10, 2018
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Physics
Cosmology and Nongalactic Astrophysics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
The production rate of primordial black holes is often calculated by
considering a nearly Gaussian distribution of cosmological perturbations, and
assuming that black holes will form in regions where the amplitude of such
perturbations exce...
A massive class of N=2 AdS4 IIA solutions
May 9, 2018
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Physics
High Energy Physics - Theory
We initiate a classification of N=2 supersymmetric AdS4
solutions of (massive) type IIA supergravity. The internal space is locally
equipped with either an SU(2) or an identity structure. We focus on the SU(2)
structure and ...
On the Generalized Class of PR-warped product
submanifolds in para-K\"{a}hler Manifolds
May 9, 2018
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Mathematics
Differential Geometry
Differential Geometry
In this paper, we study a new generalized class of
PR-warped product submanifolds under the name
PR-pseudo-slant warped product submanifolds in
para-K\"{a}hler manifolds Mˉ. The results of ...
Topological finiteness properties of monoids. Part 2: special monoids,
one-relator monoids, amalgamated free products, and HNN extensions
May 9, 2018
|
Mathematics
Group Theory
Algebraic Topology
Rings and Algebras
We show how topological methods developed in a previous article can be
applied to prove new results about topological and homological finiteness
properties of monoids. A monoid presentation is called special if the
right-hand side of each r...
Graded multiplicity in harmonic polynomials from the Vinberg setting
May 8, 2018
Mathematics
Representation Theory
We consider Vinberg θ-groups associated to a cyclic quiver on r
nodes. Let K be the product of general linear groups associated to the nodes,
acting naturally on V=⊕Hom(Vi,Vi+1). We study the
harmonic polyno...
Loop structure on equivariant K-theory of semi-infinite flag manifolds
May 4, 2018
Mathematics
Algebraic Geometry
Quantum Algebra
Representation Theory
We explain that the Pontryagin product structure on the equivariant K-group
of an affine Grassmannian considered in [Lam-Schilling-Shimozono, Compos. Math.
{\bf 146} (2010)] coincides with the tensor structure on the equivariant
K-group...
A Time-Dependent Model of Dark Energy Based on Four-Dimensional
Continuous Deformation Theory
May 1, 2018
Physics
General Physics
In this article, we investigate the mechanism of cosmological expansion and
inflation by modeling dark energy as a four-dimensional continuous medium, with
its elastic deformation described by a four-dimensional vector field. We
demonstrate...
Meixner d-Orthogonal Polynomials Arising from su(1,1)
April 30, 2018
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Mathematics
Classical Analysis and ODEs
In this study, we present a novel family of Meixner-type d-orthogonal
polynomials, which are distinguished as a particular subset of multiple
orthogonal polynomials. We demonstrate their connection to the Lie algebra
su(1,1) ...
Exoplanet Populations and their Dependence on Host Star Properties
April 30, 2018
Physics
Solar and Stellar Astrophysics
Earth and Planetary Astrophysics
Exoplanets around different types of stars provide a window into the diverse
environments in which planets form. This chapter describes the observed
relations between exoplanet populations and stellar properties and how they
connect to plan...
Fully Extended Quasi-Metric Gravity
April 30, 2018
Physics
General Relativity and Quantum Cosmology
The original theory of quasi-metric gravity, admitting only a partial
coupling between space-time geometry and the active stress-energy tensor, is
too restricted to allow the existence of gravitational waves in vacuum.
Therefore, said theor...