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arXiv · 1509.05089

Higher Euler characteristics

Niranjan Ramachandran
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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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Niranjan Ramachandran. 2015-09-17. Higher Euler characteristics. https://arxiv.org/abs/1509.05089

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