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Self-Dual Maps I: Antipodality
A self-dual map $G$ is said to be \emph{antipodally self-dual} if the dual map $G^*$ is antipodal embedded in $\mathbb{S}^2$ with respect to $G$. In this paper, we investigate necessary and/or sufficient conditions for a map to be antipodally self-dual.
Montejano, Luis +2 more
openaire +2 more sources
Biao Chen,1 Xiaoqi Dong,2 Xiyuan Dong,1 Quan Wang,2 Meng Wu,1 Jun Wu,2 Xiaoding Lou,2 Fan Xia,2 Wenwen Wang,1 Jun Dai,1 Shixuan Wang1 1Department of Obstetrics and Gynecology, Tongji Hospital, Tongji Medical College, Huazhong University of Science and ...
Chen B +10 more
doaj
Double-copying self-dual Yang-Mills theory to self-dual gravity on twistor space
We construct a simple Lorentz-invariant action for maximally supersymmetric self-dual Yang-Mills theory that manifests colour-kinematics duality. We also show that this action double-copies to a known action for maximally supersymmetric self-dual gravity.
Leron Borsten +5 more
doaj +1 more source
The Algorithm of Multiple Obstacle Avoidance Tasks for Dual-Arm Robots
To achieve multiple obstacle avoidance tasks consisting of zero-space obstacle avoidance and terminal obstacle avoidance with self-avoidance permission, we propose an algorithm for multiple obstacle avoidance tasks for dual-arm robots. First, we design a
Quancheng Pu +8 more
doaj +1 more source
String-induced Yang-Mills coupling to self-dual gravity [PDF]
By considering N=2 string amplitudes we determine the (2+2)-dimensional target space action for the physical degrees of freedom: self-dual gravity and self-dual Yang-Mills, together with their respective infinite towers of higher-spin inequivalent ...
Alekseevsky +25 more
core +3 more sources
Self-Dual Conformal Gravity [PDF]
22 pages. Sections about local twistor transport, and LeBrun metrics on connected sums partially rewritten.
Dunajski, Maciej, Tod, Paul
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Self-dual continuous processes [PDF]
The important application of semi-static hedging in financial markets naturally leads to the notion of quasi self-dual processes which is, for continuous semimartingales, related to symmetry properties of both their ordinary as well as their stochastic ...
Rheinländer, Thorsten, Schmutz, Michael
core +2 more sources
On codes induced from Hadamard matrices
Unit derived schemes applied to Hadamard matrices are used to construct and analyse linear block and convolutional codes. Codes are constructed to prescribed types, lengths and rates and multiple series of self-dual, dual-containing, linear complementary
Ted Hurley
doaj +1 more source
Strong forms of self-duality for Hopf monoids in species [PDF]
A vector species is a functor from the category of finite sets with bijections to vector spaces (over a fixed field); informally, one can view this as a sequence of $S_n$-modules.
Marberg, Eric
core +1 more source

