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Higher Euler characteristics

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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AuthorshipTopic signalTopic signalWHigher Euler characteristicspreprint / 2015ANiranjan RamachandranResearcherTmath.AG5393 worksTmath.KT601 works
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Higher Euler characteristics

preprint / 2015

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