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GIAMBELLI AND DEGENERACY LOCUS FORMULAS FOR CLASSICAL G/P SPACES
LOCUS FORMULAS GIAMBELLI
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2015/12/17
Let G be a classical complex Lie group, P any parabolic subgroup
of G, and X = G/P the corresponding homogeneous space, which parametrizes
(isotropic) partial flags of subspaces of a fix...
Trace coordinates on Fricke spaces of some simple hyperbolic surfaces
simple hyperbolic surfaces Fricke spaces
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2015/9/29
The work of Fricke-Klein [20] develops the deformation theory of hyperbolic
structures on a surface Σ in terms of the space of representations of its fundamental group damental group π = π1(Σ) in SL(...
Moyal multiplier algebras of the test function spaces of type S
Moyal multiplier algebras test function spaces of type S
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2011/1/17
The Gel’fand-Shilov spaces of type S are considered as topological algebras with respect
to the Moyal star product and their corresponding algebras of multipliers are defined and
investigated.
Weak type estimates of Marcinkiewicz integrals on the weighted Hardy spaces and weighted Herz-type Hardy spaces
Marcinkiewicz integrals weighted Hardy spaces weighted
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2011/1/17
TheMarcinkiewicz integral is essentially a Littlewood-Paley g-function,which plays a important role in harmonic analysis. In this article, by using the atomic decomposition theory of weighted Hardy sp...
On the Menger covering property and $D$-spaces
D-space subparacompactness Menger property
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2011/1/18
The main results of this note are:• It is consistent that every subparacompact space X of size !1 is a D-space.
On local comparison between various metrics on Teichmüller spaces
Teichm¨uller space Teichm¨uller metric quasiconformal metric
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2011/1/20
There are several Teichm¨uller spaces associated to a surface of infinite topological type, after the choice of a particular basepoint ( a complex or a hyperbolic structure on the surface). These spac...
Various characterizations of Besov-Dunkl spaces
Dunkl operators Dunkl transform Dunkl translation operators
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2011/2/28
In this paper, different characterizations of the Besov-Dunkl spaces, previously considered in [1, 2, 3, 11], are given. We provide equivalence between these characterizations, using the Dunkl transla...
On causal properties of symmetric Lorentzian spaces
causal properties symmetric Lorentzian spaces
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2011/1/18
The causal properties of Lorentzian symmetric spaces are investigated in the paper. There is proved the global hyperbolicity of the Cahen–Wallach Lorentzian symmetric spaces, corresponding to solvable...
Representation spaces of pretzel knots
Representation spaces pretzel knots
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2011/1/21
We study the representation spaces R(K; i) as appearing in Kronheimer and Mrowka's framed instanton knot Floer homology, for a class of pretzel knots. In particular, for pretzel knots P(p; q; r) with ...
Banach Gabor frames with Hermite functions: polyanalytic spaces from the Heisenberg group
Gabor frames Heisenberg group Hermite functions
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2011/2/23
Gabor frames with Hermite functions are equivalent to sampling sequences in true Fock spaces of polyanalytic functions. In the L2-case, such an equivalence follows from the unitarity of the polyanalyt...
Radon-Nikodým compact spaces of low weight and Banach spaces
Radon-Nikod´ ym compact quasi Radon-Nikod´ ym compact
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2011/2/28
We prove that a continuous image of a Radon-Nikod´ym compact of weight less than b is Radon-Nikod´ym compact. As a Banach space counter-part, subspaces of Asplund generated Banach spaces o...
Continuous C*-algebras over topological spaces
Continuous C*-algebras topological spaces
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2011/1/18
We define continuous C*-algebras over a topological space X and establish some basic results. If X is a locally compact Hausdorff space, continuous C*-algebras over X are equivalent to ordinary contin...
Metric spaces: The definition, and some examples
Metric spaces definition some examples
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2011/1/20
A metric space is a set M together with a real-valued function d(x, y)defined for x, y ∈ M that satisfies the following three conditions. First,d(x, y) ≥ 0 for every x, y ∈ M, and d(x, y) = 0 if and o...
Partial desingularizations of good moduli spaces of Artin toric stacks
Partial desingularizations good moduli spaces of Artin toric stacks
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2011/1/19
Let X be an Artin stack with good moduli space X → M. We define the Reichstein transform of X relative to a closed substack C ⊂ X to be the complement of the strict transform of the saturation o...
Quasi-shape theory of locally finite and paracompact spaces
Shape quasi-shape locally finite spaces weak homotopy type
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2011/2/28
Shape theory works nice for (Hausdorff) paracompact spaces, but for spaces with no separation axioms, it seems to be quite poor. However, for finite and locally finite spaces their weak homotopy type ...