![Loading...](https://link.springer.com/static/c4a417b97a76cc2980e3c25e2271af3129e08bbe/images/pdf-preview/spacer.gif)
-
Article
Open AccessOptical synaptic devices with ultra-low power consumption for neuromorphic computing
Brain-inspired neuromorphic computing, featured by parallel computing, is considered as one of the most energy-efficient and time-saving architectures for massive data computing. However, photonic synapse, one...
-
Article
Open AccessThe Controlling \(L_\infty \) -Algebra, Cohomology and Homotopy of Embedding Tensors and Lie–Leibniz Triples
In this paper, we first construct the controlling algebras of embedding tensors and Lie–Leibniz triples, which turn out to be a graded Lie algebra and an ...
-
Article
Open AccessIntegration of Lie 2-Algebras and Their Morphisms
Given a strict Lie 2-algebra, we can integrate it to a strict Lie 2-group by integrating the corresponding Lie algebra crossed module. On the other hand, the integration procedure of Getzler and Henriques will...
-
Article
Open AccessKan Replacement of Simplicial Manifolds
We establish a functor Kan from local Kan simplicial manifolds to weak Kan simplicial manifolds. It gives a solution to the problem of extending local Lie groupoids to Lie 2-groupoids.