Homology, Homotopy and Applications
Volume 18 (2016)
Higher Euler characteristics: Variations on a theme of Euler
Pages: 231 – 246
We provide a natural interpretation of the secondary Euler characteristic and introduce higher Euler characteristics. For a compact oriented manifold of odd dimension, the secondary Euler characteristic recovers the Kervaire semi-characteristic. We prove basic properties of the higher invariants and illustrate their use. We also introduce motivic variants.
Euler characteristic, abelian category, cohomological invariant
2010 Mathematics Subject Classification
13D15, 18G35, 55M99