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Geometry of orbit spaces of proper Lie groupoids
In this paper, we study geometric properties of quotient spaces of proper Lie groupoids. First, we construct a natural stratification on such spaces using an extension of the slice theorem for properExpand
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From double Lie groupoids to local Lie 2-groupoids
We apply the bar construction to the nerve of a double Lie groupoid to obtain a local Lie 2-groupoid. As an application, we recover Haefliger’s fundamental groupoid from the fundamental doubleExpand
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Noncommutative Poisson structures on orbifolds
Author(s): Halbout, Gilles; Tang, Xiang | Abstract: In this paper, we compute the Gerstenhaber bracket on the Hoch-schild cohomology of $C^\infty(M)\rtimes G$ for a finite group $G$ acting on aExpand
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Escitalopram attenuates β-amyloid-induced tau hyperphosphorylation in primary hippocampal neurons through the 5-HT1A receptor mediated Akt/GSK-3β pathway
Tau hyperphosphorylation is an important pathological feature of Alzheimer's disease (AD). To investigate whether escitalopram could inhibit amyloid-β (Aβ)-induced tau hyperphosphorylation and theExpand
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Spatial learning and memory impairments are associated with increased neuronal activity in 5XFAD mouse as measured by manganese-enhanced magnetic resonance imaging
Dysfunction of neuronal activity is a major and early contributor to cognitive impairment in Alzheimer's disease (AD). To investigate neuronal activity alterations at early stage of AD, weExpand
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Deformations of Orbifolds with Noncommutative Linear Poisson Structures
Let Γ be a finite group acting faithfully and linearly on a real vector space V . Let T(V^∗) (S(V^∗)) be the tensor (symmetric) algebra associated to V^∗ which has a natural Γ action. We studyExpand
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Deformation quantization of pseudo-symplectic (Poisson) groupoids
Abstract.We introduce a new kind of groupoid—a pseudo-étale groupoid, which provides many interesting examples of noncommutative Poisson algebras as defined by Block, Getzler, and Xu. Following theExpand
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Thermodynamics of the General Diffusion Process: Time-Reversibility and Entropy Production
We introduce an axiomatic thermodynamic theory for the general diffusion process and prove a theorem concerning entropy and irreversibility: the equivalence among time-reversibility, zero entropyExpand
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Magnetic resonance imaging relaxation time in Alzheimer’s disease
The magnetic resonance imaging (MRI) relaxation time constants, T1 and T2, are sensitive to changes in brain tissue microstructure integrity. Quantitative T1 and T2 relaxation times have beenExpand
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Hopfish algebras
We introduce a notion of “hopfish algebra” structure on an associative algebra, allowing the structure morphisms (coproduct, counit, antipode) to be bimodules rather than algebra homomorphisms. WeExpand
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