A Weak ∞-Functor in Morse Theory.Shan Zhong SUN,Chen Xi WANG.Abstract In the spirit of Morse homology initiated by Witten and Floer,we construct two ∞-categories A and B.
supported by the National Natural Science Foundation of China(No.11601371);the Guangdong Basic and Applied Basic Research Foundation(No.2021A1515010232).
In this paper,we propose a general algorithmic framework to solve a class of optimization problems on the product of complex Stiefel manifolds based on the matrix polar decomposition.We establish the weak convergence,...
We construct a Floer type boundary operator for generalised Morse–Smale dynamical systems on compact smooth manifolds by counting the number of suitable flow lines between closed(both homoclinic and periodic)orbits a...
National Key Research and Development Program of China(2022YFB3605601);Open Project of Key Laboratory of Semiconductor Materials Science(KLSMS-2204);National Natural Science Foundation of China(61675046,61935005).
By combining the good charge transport property of graphene and the excellent photo-carrier generation char-acteristic of perovskite nanocrystal,we propose and demonstrate an ionic-gated synaptic transistor based on C...
supported by the National Natural Science Foundation of China(62171414,52175554,52205608,U2341210);the Fundamental Research Program of Shanxi Province(20210302123059,20210302124610);the National Defense Fundamental Research Project.
Flexible sensors have been widely studied for use in motion monitoring,human‒machine interactions(HMIs),personalized medicine,and soft intelligent robots.However,their practical application is limited by their low out...