Higher Lefschetz Traces and Spherical Euler Characteristics

Geoghegan, Ross; Nicas, Andrew; Oprea, John

doi:10.1090/S0002-9947-96-01615-7

Higher Lefschetz Traces and Spherical Euler Characteristics
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by Ross Geoghegan, Andrew Nicas and John Oprea

Trans. Amer. Math. Soc. 348 (1996), 2039-2062

DOI: https://doi.org/10.1090/S0002-9947-96-01615-7

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Abstract:

Higher analogs of the Euler characteristic and Lefschetz number are introduced. It is shown that they possess a variety of properties generalizing known features of those classical invariants. Applications are then given. In particular, it is shown that the higher Euler characteristics are obstructions to homotopy properties such as the TNCZ condition, and to a manifold being homologically Kähler.

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