Localizable invariants of combinatorial manifolds and Euler characteristic

Details Localizable invariants of combinatorial manifolds and Euler characteristic Localizable invariants of combinatorial manifolds and Euler characteristic

2009-03-04

arxiv.org/abs/0903.0699v4

Mathematics

Geometric Topology

14 pages, 5 figures. Some arguments are improved and one picture is added

Scientific paper

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.

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