On the local Kan structure and differentiation of simplicial manifolds

Florian Dorsch

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arXiv · 2402.07857

On the local Kan structure and differentiation of simplicial manifolds

Florian Dorsch

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Abstract

We prove that arbitrary simplicial manifolds satisfy Kan conditions in a suitable local sense. This allows us to expand a technique for differentiating higher Lie groupoids worked out in current research to the setting of general simplicial manifolds. Consequently, we derive a method to differentiate simplicial manifolds into higher Lie algebroids.

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Florian Dorsch. 2024-02-12. On the local Kan structure and differentiation of simplicial manifolds. https://arxiv.org/abs/2402.07857

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