We study the setting of 2-step nilpotent Lie groups in the particular case
that its type (p,q) is not exceptional. We demonstrate that, generically, the
orbits of R>0×Aut0 in GL(n)/O(n) are congruent even when
a Ricci ...
Heegaard Floer Homology and Balanced Presentations of Groups
October 18, 2018
|
Mathematics
Geometric Topology
Let G be a group with a finite balanced presentation P. We associate a
Heegaard Floer homology group HFP(G) with the pair (G,P) based
on some extra choices and technical assumptions. We show that
HFP(G) is in...
A Sharpened Rearrangement Inequality for Convolution on the Sphere
October 16, 2018
Mathematics
Classical Analysis and ODEs
One may define a trilinear convolution form on the sphere involving two
functions on the sphere and a monotonic function on the interval [−1,1]. A
symmetrization inequality of Baernstein and Taylor states that this form is
maximized when ...
Frobenius splitting of Schubert varieties of semi-infinite flag
manifolds
October 16, 2018
Mathematics
Algebraic Geometry
Quantum Algebra
Representation Theory
We exhibit basic algebro-geometric results on the formal model of
semi-infinite flag varieties and its Schubert varieties over an algebraically
closed field K of characteristic =2 from scratch. We show that
the formal model ...
High-order Solution Transfer between Curved Triangular Meshes
October 16, 2018
|
Mathematics
Computer Science
Numerical Analysis
Numerical Analysis
The problem of solution transfer between meshes arises frequently in
computational physics, e.g. in Lagrangian methods where remeshing occurs. The
interpolation process must be conservative, i.e. it must conserve physical
properties, such a...
Bethe subalgebras in Yangians and the wonderful compactification
October 16, 2018
|
Mathematics
Quantum Algebra
We study the family of Bethe subalgebras in the Yangian Y(g)
parameterized by the corresponding adjoint Lie group G. We describe their
classical limits as subalgebras in the algebra of polynomial functions on the
formal Lie g...
Balanced matrices
October 15, 2018
|
Mathematics
Rings and Algebras
In this paper we introduce a particular class of matrices. We study the
concept of a matrix to be balanced. We study some properties of this concept in
the context of matrix operations. We examine the behaviour of various matrix
statistics ...
Invariance of non-vanishing of first lp-cohomology under
Lq-Measured Equivalence
October 14, 2018
|
Mathematics
Group Theory
Group Theory
The first lp-cohomology is an algebro-analytical object attached to a
finitely generated discrete group and introduced by M. Gromov. It is well known
that it is invariant under quasi-isometry. In this article, we prove that the
non-vanis...
Skin-Friction and Forced Convection from Rough and Smooth Plates
October 12, 2018
Physics
Fluid Dynamics
Since the 1930s, theories of skin-friction drag from plates with rough
surfaces have been based by analogy to turbulent flow in pipes with rough
interiors. Failure of this analogy at slow velocities has frustrated attempts
to create a compr...
Enumerating models of DNF faster: breaking the dependency on the formula
size
October 9, 2018
|
Computer Science
Computational Complexity
Data Structures and Algorithms
In this article, we study the problem of enumerating the models of DNF
formulas. The aim is to provide enumeration algorithms with a delay that
depends polynomially on the size of each model and not on the size of the
formula, which can be ...