Results 1 to 10 of about 79,698 (191)
Moment maps, monodromy and mirror manifolds [PDF]
Via considerations of symplectic reduction, monodromy, mirror symmetry and Chern-Simons functionals, a conjecture is proposed on the existence of special Lagrangians in the hamiltonian deformation class of a given Lagrangian submanifold of a Calabi-Yau manifold.
Richard Thomas
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Symmetric space valued moment maps [PDF]
It is well known that we have three momentum map theories, or at least three natural \(G\)-spaces which serve as targets for moment maps: \(\mathfrak{g}^*\) for the classical Hamiltonian theory, \(G\) for the \(q\)-Hamiltonian theory and \(G_\mathbb{C}/G\) representing the Poisson or \(Y\)-valued theory.
Matthew Leingang
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Differentiability of quantum moment maps [PDF]
We study quantum moment maps of $G$-invariant star products, which are a quantum analogue of the moment map for classical Hamiltonian systems. Introducing an integral representation, we show that any quantum moment map for a $G$-invariant star product is differentiable.
Kentaro Hamachi
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Mean Curvature Flow, Orbits, Moment Maps [PDF]
Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbits and some applications: e.g., finding minimal orbits. We then specialize to Lagrangian orbits in Kaehler manifolds. In particular, in the Kaehler-Einstein case we find a relation between MCF and moment maps which, for example, proves that the minimal ...
Tommaso Pacini
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A remark on the moment map [PDF]
Following S. Lie, it is proposed that moment maps be constructed for degenerate forms and the utility of such maps is illustrated by computing the moment maps for torus actions on C n {{\mathbf {C}}^n} and U ( n )
H. Azad
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Courant morphisms and moment maps [PDF]
18 pages. v2: Minor corrections, one example (Example 2.11) added. v3: Remark 2.5 fixed. To appear in Math.
Henrique Bursztyn +2 more
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Investigation of seismic parameters, calculation of Seismic moment and Geologic moment Kopeh-Dagh zone in Northeast of Iran [PDF]
The Kopeh-Dagh zone is the northern deformation zone due to the convergence of the Arabian and Eurasian plates Which forms an active area with a northwest-southeast trend.
Hadi Alinia, Mohammad Mahdi Khatib
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Generic simplicity of quantum Hamiltonian reductions
Let a reductive group $G$ act on a smooth affine complex algebraic variety $X.$ Let $\mathfrak{g}$ be the Lie algebra of $G$ and $\mu :T^*(X)\rightarrow \mathfrak{g}^*$ be the moment map.
Tikaradze, Akaki
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In 1969, Jean-Marie Souriau introduced a “Lie Groups Thermodynamics” in Statistical Mechanics in the framework of Geometric Mechanics. This Souriau’s model considers the statistical mechanics of dynamic systems in their “space of evolution” associated to
Frédéric Barbaresco
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