Discrete Differential Calculus on Simplicial Complexes and Constrained Homology  

作　　者：Shiquan REN 

机构地区：[1]School of Mathematics and Statistics,Henan University

出　　处：《Chinese Annals of Mathematics,Series B》2023年第4期615-640,共26页数学年刊（B辑英文版）

基　　金：supported by China Postdoctoral Science Foundation(No.2022M721023)。

摘　　要：Let V be a finite set.Let K be a simplicial complex with its vertices in V.In this paper,the author discusses some differential calculus on V.He constructs some constrained homology groups of K by using the differential calculus on V.Moreover,he defines an independence hyper graph to be the complement of a simplicial complex in the complete hypergraph on V.Let L be an independence hypergraph with its vertices in V.He constructs some constrained cohomology groups of L by using the differential calculus on V.

关 键 词：Simplicial complexes HYPERGRAPHS Chain complexes HOMOLOGY Differential calculus 

分 类 号：O172.1[理学—数学]