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Localizable invariants of combinatorial manifolds and Euler characteristic

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Abstract

It is shown that if a real-valued 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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Authors and Affiliations

  1. Department of Mathematics and IMS, Nanjing University, Nanjing, 210093, People’s Republic of China

    Li Yu

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  1. Li Yu
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Correspondence to Li Yu.

Additional information

This work is supported by NSFC (Grant No.11001120) and the PAPD (priority academic program development) of Jiangsu higher education institutions.

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Yu, L. Localizable invariants of combinatorial manifolds and Euler characteristic. Arch. Math. 102, 191–200 (2014). https://doi.org/10.1007/s00013-014-0614-8

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  • DOI: https://doi.org/10.1007/s00013-014-0614-8

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