Localizable invariants of combinatorial manifolds and Euler characteristic
Geometric Topology
2016-03-23 v4 Combinatorics
Abstract
It is shown that if a real value PL-invariant of closed combinatorial manifolds admits a local formula that depends only on the f-vector of the link of each vertex, then the invariant must be a constant times the Euler characteristic.
Cite
@article{arxiv.0903.0699,
title = {Localizable invariants of combinatorial manifolds and Euler characteristic},
author = {Li Yu},
journal= {arXiv preprint arXiv:0903.0699},
year = {2016}
}
Comments
14 pages, 5 figures. Some arguments are improved and one picture is added