Higher Euler characteristics
classification
🧮 math.KT
math.AG
keywords
eulerhighercharacteristiccharacteristicsintroducesecondarybasiccompact
read the original abstract
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.
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