Characteristic Topological Invariants
Combinatorics
2023-02-07 v1 Discrete Mathematics
Abstract
The higher characteristics w_m(G) for a finite abstract simplicial complex G are topological invariants that satisfy k-point Green function identities and can be computed in terms of Euler characteristic in the case of closed manifolds, where we give a new proof of w_m(G)=w_1(G). Also the sphere formula generalizes: for any simplicial complex, the total higher characteristics of unit spheres at even dimensional simplices is equal to the total higher characteristic of unit spheres at odd dimensional simplices.
Cite
@article{arxiv.2302.02510,
title = {Characteristic Topological Invariants},
author = {Oliver Knill},
journal= {arXiv preprint arXiv:2302.02510},
year = {2023}
}
Comments
19 pages, 1 figure