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arXiv:0903.0699 [math.GT]AbstractReferencesReviewsResources

Localizable invariants of combinatorial manifolds and Euler characteristic

Li Yu

Published 2009-03-04, updated 2012-01-05Version 4

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.

Comments: 14 pages, 5 figures. Some arguments are improved and one picture is added
Categories: math.GT, math.CO
Subjects: 57R05, 57R20, 57Q99
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