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Torsion in equivariant cohomology and Cohen–Macaulay Gactions, Transformation Groups 16
"... Abstract. We show that the wellknown fact that the equivariant cohomology of a torus action is a torsionfree module if and only if the map induced by the inclusion of the fixed point set is injective generalises to actions of arbitrary compact connected Lie groups if one replaces the fixed point ..."
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Cited by 5 (3 self)
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Abstract. We show that the wellknown fact that the equivariant cohomology of a torus action is a torsionfree module if and only if the map induced by the inclusion of the fixed point set is injective generalises to actions of arbitrary compact connected Lie groups if one replaces the fixed
Analogies between group actions on 3manifolds and number fields
, 2003
"... Let a cyclic group G act either on a number field L or on a 3manifold M. Let sL be the number of ramified primes in the extension L G ⊂ L and sM be the number of components of the branching set of the branched covering M → M/G. In this paper, we prove several formulas relating sL and sM to the indu ..."
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Cited by 6 (1 self)
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M to the induced Gaction on Cl(L) and H1(M), respectively. We observe that the formulas for 3manifolds and number fields are almost identical, and therefore, they provide new evidence for the correspondence between 3manifolds and number fields postulated in arithmetic topology.
DEMAZURE ROOTS AND SPHERICAL VARIETIES: THE EXAMPLE OF HORIZONTAL SL2ACTIONS
"... Abstract. Let G be a connected reductive group, and let X be an affine Gspherical variety. We show that the classification of Gaactions on X normalized by G can be reduced to the description of quasiaffine homogeneous spaces under the action of a semidirect product Ga ⋊ G with the following prop ..."
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property. The induced Gaction is spherical and the complement of the open orbit is either empty or a Gorbit of codimension one. These homogeneous spaces are parametrized by a subset Rt(X) of the character lattice X(G) of G, which we call the set of Demazure roots of X. We give a complete description
Hyperkähler analogues of Kähler quotients
, 2004
"... Let X be a Kähler manifold that is presented as a Kähler quotient of�n by the linear action of a compact group G. We define the hyperkähler analogue M of X as a hyperkähler quotient of the cotangent bundle T ∗�n by the induced Gaction. Special instances of this construction include hypertoric varie ..."
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Cited by 13 (3 self)
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Let X be a Kähler manifold that is presented as a Kähler quotient of�n by the linear action of a compact group G. We define the hyperkähler analogue M of X as a hyperkähler quotient of the cotangent bundle T ∗�n by the induced Gaction. Special instances of this construction include hypertoric
COMPONENTWISE INJECTIVE MODELS OF FUNCTORS TO DGAs BY
"... The aim of this paper is to present a starting point for proving existence of injective minimal models (cf. [8]) for some systems of complete differential graded algebras. Sullivan [7] introduced the rational de Rham theory for connected simplicial complexes and applied it to show that the de Rham ..."
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simplicial set of finite type with a finite group G action which is Gconnected and nilpotent, i.e. the fixed point simplicial subsets XH are nonempty, connected, and nilpotent for all subgroups H ⊆ G. In this case not only A∗X with the induced Gaction are considered but also the system of the de Rham
ALGEBRAIC GROUP ACTIONS ON NONCOMMUTATIVE SPECTRA
, 2008
"... Let G be an affine algebraic group and let R be an associative algebra with a rational action of G by algebra automorphisms. We study the induced Gaction on the set SpecR of all prime ideals of R, viewed as a topological space with the JacobsonZariski topology, and on the subspace RatR ⊆ SpecR c ..."
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Let G be an affine algebraic group and let R be an associative algebra with a rational action of G by algebra automorphisms. We study the induced Gaction on the set SpecR of all prime ideals of R, viewed as a topological space with the JacobsonZariski topology, and on the subspace RatR ⊆ Spec
Selfdetermination and persistence in a reallife setting: Toward a motivational model of high school dropout.
 Journal of Personality and Social Psychology,
, 1997
"... The purpose of this study was to propose and test a motivational model of high school dropout. The model posits that teachers, parents, and the school administration's behaviors toward students influence students' perceptions of competence and autonomy. The less autonomy supportive the so ..."
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Cited by 183 (19 self)
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is that there is an important parallel between the present findings and those from the experimental (laboratory) research on intrinsic motivation. Such research typically induces a loss of intrinsic motivation through a manipulated independent variable (e.g., a controlling reward, such as money) and leaves the participant
G (2001) Instability and triangulation of the action potential predict serious proarrhythmia, but action potential duration prolongation is antiarrhythmic. Circulation 103
"... Background—Prolongation of action potential duration (APD) is considered a major antiarrhythmic mechanism (class III), but paradoxically, it frequently is also proarrhythmic (torsade de pointes). Methods and Results—The cardiac electrophysiological effects of 702 chemicals (class III or HERG channel ..."
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Cited by 42 (0 self)
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Background—Prolongation of action potential duration (APD) is considered a major antiarrhythmic mechanism (class III), but paradoxically, it frequently is also proarrhythmic (torsade de pointes). Methods and Results—The cardiac electrophysiological effects of 702 chemicals (class III or HERG
Results 1  10
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388,746