Results 81 to 90 of about 209,957 (232)
Equivariant harmonic maps depend real analytically on the representation [PDF]
arXiv, 2020 We prove that when assuming suitable non-degeneracy conditions equivariant harmonic maps into symmetric spaces of non-compact type depend in a real analytic fashion on the representation they are associated to. The main tool in the proof is the construction of a family of deformation maps which are used to transform equivariant harmonic maps into maps ...
arxiv
Relaxation of wave maps exterior to a ball to harmonic maps for all data [PDF]
, 2013 In this paper we study 1-equivariant wave maps of finite energy from 1+3-dimensional Minkowski space exterior to the unit ball at the origin into the 3-sphere.
Kenig, Carlos +2 more
core
Equivariant Euler characteristics and K-homology Euler classes for proper cocompact G-manifolds
, 2003 Let G be a countable discrete group and let M be a smooth proper cocompact G-manifold without boundary. The Euler operator defines via Kasparov theory an element, called the equivariant Euler class, in the equivariant K-homology of M.
Baaj +18 more
core +2 more sources
A General Theory of Equivariant CNNs on Homogeneous Spaces [PDF]
, 2020 We present a general theory of Group equivariant Convolutional Neural Networks (G-CNNs) on homogeneous spaces such as Euclidean space and the sphere. Feature maps in these networks represent fields on a homogeneous base space, and layers are equivariant ...
Cohen, Taco +2 more
core +1 more source
T-equivariant disc potential and SYZ mirror construction [PDF]
, 2019 We develop a G-equivariant Lagrangian Floer theory by counting pearly trees in the Borel construction LG. We apply the construction to smooth moment-map fibers of toric semi-Fano manifolds and obtain the T-equivariant Landau-Ginzburg mirrors.
Kim, Yoosik, Lau, Siu, Zheng, Xiao
core +1 more source
Learning Metric Fields for Fast Low‐Distortion Mesh Parameterizations
Computer Graphics Forum, EarlyView.Abstract We present a fast and robust method for computing an injective parameterization with low isometric distortion for disk‐like triangular meshes. Harmonic function‐based methods, with their rich mathematical foundation, are widely used. Harmonic maps are particularly valuable for ensuring injectivity under certain boundary conditions. In addition,
G. Fargion, O. Weber
wiley +1 more source
A continuity argument for a semilinear Skyrme model
Electronic Journal of Differential Equations, 2010 We investigate a semilinear modification for the wave map problem proposed by Adkins and Nappi [1], and prove that in the equivariant case the solution remain continuous at the first possible singularity.
Dan-Andrei Geba, Sarada G. Rajeev
doaj
Survey on Modeling of Human‐made Articulated Objects
Computer Graphics Forum, EarlyView.Abstract 3D modeling of articulated objects is a research problem within computer vision, graphics, and robotics. Its objective is to understand the shape and motion of the articulated components, represent the geometry and mobility of object parts, and create realistic models that reflect articulated objects in the real world.
Jiayi Liu +2 more
wiley +1 more source
Equivariant maps between representation spheres [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2017 Let $G$ be a compact Lie group. We prove that if $V$ and $W$ are orthogonal $G$-representations such that $V^G=W^G=\{0\}$, then a $G$-equivariant map $S(V) \to S(W)$ exists provided that $\dim V^H \leq \dim W^H$ for any closed subgroup $H\subseteq G$.
Błaszczyk, Zbigniew +2 more
openaire +4 more sources
Differential Borel equivariant cohomology via connections [PDF]
arXiv, 2016 For a compact Lie group acting on a smooth manifold, we define the differential cohomology of a certain quotient stack involving principal bundles with connection. This produces differential equivariant cohomology groups that map to the Cartan-Weil equivariant forms and to Borel's equivariant integral cohomology. We show the Chern-Weil homomorphism for
arxiv