Results 111 to 120 of about 209,957 (232)
Nature CommunicationsGeometric deep learning has been revolutionizing the molecular modeling field. Despite the state-of-the-art neural network models are approaching ab initio accuracy for molecular property prediction, their applications, such as drug discovery and ...
Yusong Wang +8 more
doaj +1 more source
Mori dream bonds and C∗${\mathbb {C}}^*$‐actions
Mathematische Nachrichten, Volume 298, Issue 4, Page 1127-1147, April 2025.Abstract We construct a correspondence between Mori dream regions arising from small modifications of normal projective varieties and C∗${\mathbb {C}}^*$‐actions on polarized pairs which are bordisms. Moreover, we show that the Mori dream regions constructed in this way admit a chamber decomposition on which the models are the geometric quotients of ...
Lorenzo Barban +3 more
wiley +1 more source
The equivariant K-theory of isotropy actions
, 2018 We compute the equivariant K-theory with integer coefficients of an equivariantly formal isotropy action, subject to natural hypotheses which cover the three major classes of known examples.
Carlson, Jeffrey D.
core
Moment Maps and Equivariant Szegö Kernels [PDF]
Journal of Symplectic Geometry, 2004 Suppose given an Hamiltonian action of a compact semisimple Lie group on a polarized complex projective manifold $(M,L)$. We study by means of microlocal techniques the local and global asymptotic behaviour of linear series on $M$ defined in terms of the action and the irreducible representations of $G$.
openaire +5 more sources
The equivariant Lefschetz fixed point theorem for proper cocompact G-manifolds
, 2001 Suppose one is given a discrete group G, a cocompact proper G-manifold M, and a G-self-map f of M. Then we introduce the equivariant Lefschetz class of f, which is globally defined in terms of cellular chain complexes, and the local equivariant Lefschetz
Lueck, Wolfgang, Rosenberg, Jonathan
core +2 more sources
Equivariant birational types and Burnside volume [PDF]
arXiv, 2020 We introduce equivariant Burnside groups, new invariants in equivariant birational geometry, generalizing birational symbols groups for actions of finite abelian groups, due to Kontsevich, Pestun, and the second author, and study their properties. We establish a specialization map for the equivariant birational type of a smooth algebraic variety with ...
arxiv
Rotation numbers for planar attractors of equivariant homeomorphisms [PDF]
arXiv, 2012 Given an integer m>1 we consider Zm-equivariant and orientation preserving homeomorphisms in the plane with an asymptotically stable fixed point at the origin. We present examples without periodic points and having some complicated dynamical features. The key is a preliminary construction of Zm-equivariant Denjoy maps of the circle.
arxiv
Boundedness of Differential of Symplectic Vortices in Open Cylinder Model
MathematicsLet G be a compact connected Lie group, (X,ω,μ) a Hamiltonian G-manifold with moment map μ, and Z a codimension-2 Hamiltonian G-submanifold of X. We study the boundedness of the differential of symplectic vortices (A,u) near Z, where A is a connection 1 ...
Hai-Long Her
doaj +1 more source
A twisted moment map and its equivariance [PDF]
Tohoku Mathematical Journal, 2014 Let $G$ be a linear connected complex reductive Lie group. The purpose of this paper is to give explicit symplectic isomorphisms from twisted cotangent bundles of the complex generalized flag varieties, whose transition functions are given by affine transformations instead of linear transformations, onto the complex coadjoint semisimple orbits ...
openaire +4 more sources
Efficient mapping of phase diagrams with conditional Boltzmann Generators
Machine Learning: Science and TechnologyThe accurate prediction of phase diagrams is of central importance for both the fundamental understanding of materials as well as for technological applications in material sciences. However, the computational prediction of the relative stability between
Maximilian Schebek +3 more
doaj +1 more source