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A Hybrid Variational Front Tracking-Level Set Mesh Generator For Problems Exhibiting Large Deformations and Topological Changes
Front Tracking Arbitrary-Lagrangian-Eulerian Mesh Method
2015/12/11
We present a method for generating 2-D unstructured triangular meshes that undergo large deformations and
topological changes in an automatic way. We employ a method for detecting when topological ch...
Quantization of bending deformations of polygons in E3,hypergeometric in tegrals and the Gassner representation
bending deformations of polygons E3 hypergeometric in tegrals the Gassner representation
2015/10/14
Quantization of bending deformations of polygons in E3,hypergeometric in tegrals and the Gassner representation.
In Artin's work on algebraic spaces and algebraic stacks [A2], [A3], a crucial ingredient is the use of his
approximation theorem to prove the algebraizability of formal deformations under quite gene...
Deformations of algebras over operads and Deligne's conjecture
algebras over operads Deligne's conjecture
2015/3/25
In present paper we develop the deformation theory of operads and algebras over operads. Free resolutions (constructed via Boardman-Vogt approach) are used in order to describe formal moduli spaces of...
HODGE THEORY AND DEFORMATIONS OF KAHLER MANIFOLDS
HODGE THEORY DEFORMATIONS KAHLER MANIFOLDS
2018/4/19
We prove several formulas related to Hodge theory and the Kodaira-Spencer-Kuranishi deformation theory of K¨ahler manifolds. As applications, we present a construction of globally convergent power ser...
Isometric deformations of minimal surfaces in $S^{4}$
Minimal surfaces in S4 isometric deformation normal curvature function
2012/3/1
We consider the isometric deformation problem for oriented non simply connected immersed minimal surfaces $f:M \to S^{4}$. We prove that the space of all isometric minimal immersions of $M$ into $S^{4...
Calabi-Yau algebras viewed as deformations of Poisson algebras
Koszul algebras Calabi-Yau algebras Poisson algebras deformations of algebras Poisson homology Hochschild homology
2011/9/19
Abstract: We define a family of 3-Calabi-Yau algebras by potentials. For some of these algebras, we explicitly compute the Hochschild homology with the help of Poisson homology. The point is that the ...
Abstract: Let X be a Hyperk\"{a}hler variety deformation equivalent to the Hilbert square of points on a K3 surface and let f be an involution preserving the symplectic form. We prove that the fixed l...
VersalDeformations - a package for computing versal deformations and local Hilbert schemes
VersalDeformations local Hilbert schemes versal deformations Algebraic Geometry
2011/9/5
Abstract: We provide an overview of the Macaulay2 package VersalDeformations, which algorithmically computes versal deformations of isolated singularities, as well as local (multi)graded Hilbert schem...
On the behaviour of strong semistability in geometric deformations
semistable vector bundles, equicharacteristic deformation
2011/8/25
Abstract: Let $Y \to B$ be a relative smooth projective curve over an affine integral base scheme $B$ of positive characteristic. We provide for all prime characteristics example classes of vector bun...
Stability of extremal metrics under complex deformations
extremal metrics complex deformations Differential Geometry
2011/8/24
Abstract: Let $(\mathcal {X},\Omega)$ be a closed polarized complex manifold, $g$ be an extremal metric on $\mathcal X$ that represents the K\"ahler class $\Omega$, and $G$ be a compact connected subg...
Integrable deformations of Lotka-Volterra systems
Lotka-Volterra perturbations integrable systems Lie groups Poisson coalgebras Casimir functions N-dimensional
2011/7/5
The Hamiltonian structure of a class of three-dimensional (3D) Lotka-Volterra (LV) equations is
revisited by showing that the quadratic Poisson structure underlying its integrability structure
is ju...
D-branes of A-type, their deformations, and Morse cobordism of A-branes on Calabi-Yau 3-folds under a split attractor flow: Donaldson/Alexander-Hilden-Lozano-Montesinos-Thurston/Hurwitz/Denef-Joyce meeting Polchinski-Grothendieck
connected sum Morse cobordism D-brane of A-type Polchinski-Grothendieck Ansatz
2011/1/17
In [L-Y5] (D(6): arXiv:1003.1178 [math.SG]) we introduced the notion of Azumaya C1-manifolds with a fundamental module and morphisms therefrom to a complex manifold. In the current sequel, we use this...
Some Properties of an Infinite Family of Deformations of the Harmonic Oscillator
quantum Hamiltonians superintegrability exchange operators supersymmetry
2011/2/21
In memory of Marcos Moshinsky, who promoted the algebraic study of the har-monic oscillator, some results recently obtained on an infinite family of deformations of such a system are reviewed.
Noncommutative deformations of quantum field theories, locality, and causality
noncommutative quantum field theory Moyal and Wick-Voros star products
2011/3/3
We investigate noncommutative deformations of quantum field theories for different star products, particularly emphasizing the locality properties and the regularity of the deformed fields.