Results 1 to 10 of about 209,957 (232)
Cycle-Level Products in Equivariant Cohomology of Toric Varieties [PDF]
arXiv, 2014 In this paper, we define an action of the group of equivariant Cartier divisors on a toric variety X on the equivariant cycle groups of X, arising naturally from a choice of complement map on the underlying lattice. If X is nonsingular, this gives a lifting of the multiplication in equivariant cohomology to the level of equivariant cycles.
Fischer, Benjamin P. +1 more
arxiv +4 more sources
Supercritical equivariant biharmonic maps from $\mathbf{R}^5$ into $S^5$ [PDF]
arXiv, 2020 We study supercritical $O(d)$-equivariant biharmonic maps with a focus on $d = 5$, where $d$ is the dimension of the domain. We give a characterisation of non-trivial equivariant biharmonic maps from $\mathbf{R}^5$ into $S^5$ as heteroclinic orbits of an associated dynamical system.
Matthew Cooper
arxiv +3 more sources
Separated finitely supported $Cb$-sets [PDF]
Categories and General Algebraic Structures with Applications, 2020 The monoid $Cb$ of name substitutions and the notion of finitely supported $Cb$-sets introduced by Pitts as a generalization of nominal sets. A simple finitely supported $Cb$-set is a one point extension of a cyclic nominal set.
Khadijeh Keshvardoost, Mojgan Mahmoudi
doaj +1 more source
Lie Group Equivariant Convolutional Neural Network Based on Laplace Distribution
Remote Sensing, 2023 Traditional convolutional neural networks (CNNs) lack equivariance for transformations such as rotation and scaling. Consequently, they typically exhibit weak robustness when an input image undergoes generic transformations.
Dengfeng Liao, Guangzhong Liu
doaj +1 more source
Bi-Equivariant Fibrations [PDF]
Topology and its Applications 329 (2023) 108361, 2023 The lifting problem for continuous bi-equivariant maps and bi-equivariant covering homotopies is considered, which leads to the notion of a bi-equivariant fibration. An intrinsic characteristic of a bi-equivariant Hurewicz fibration is obtained. Theorems concerning a relationship between bi-equivariant fibrations and fibrations generated by them are ...
arxiv +1 more source
Rotation-equivariant transformer for oriented person detection of overhead fisheye images
Complex & Intelligent Systems, 2023 Overhead fisheye images can be used for person detection in intelligent monitoring systems. Unlike horizontal images, people in fisheye cameras are generally distributed in any orientation.
You Zhou, Yong Bai, Yongqing Chen
doaj +1 more source
Explicit construction of mock modular forms from weakly holomorphic Hecke eigenforms
Open Mathematics, 2022 Extending our previous work we construct weakly holomorphic Hecke eigenforms whose period polynomials correspond to elements in a basis consisting of odd and even Hecke eigenpolynomials induced by only cusp forms.
Choi SoYoung, Kim Chang Heon
doaj +1 more source
Fredholm conditions for operators invariant with respect to compact Lie group actions
Comptes Rendus. Mathématique, 2021 Let $G$ be a compact Lie group acting smoothly on a smooth, compact manifold $M$, let $P \in \psi ^m(M; E_0, E_1)$ be a $G$–invariant, classical pseudodifferential operator acting between sections of two $G$-equivariant vector bundles $E_i \rightarrow M$,
Baldare, Alexandre +2 more
doaj +1 more source
4-manifolds and topological modular forms
Journal of High Energy Physics, 2021 We build a connection between topology of smooth 4-manifolds and the theory of topological modular forms by considering topologically twisted compactification of 6d (1, 0) theories on 4-manifolds with flavor symmetry backgrounds.
Sergei Gukov +3 more
doaj +1 more source
A birational lifting of the Stanley-Thomas word on products of two chains [PDF]
Discrete Mathematics & Theoretical Computer Science, 2021 The dynamics of certain combinatorial actions and their liftings to actions at the piecewise-linear and birational level have been studied lately with an eye towards questions of periodicity, orbit structure, and invariants.
Michael Joseph, Tom Roby
doaj +1 more source