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arXiv · 1212.1153

Derived manifolds and Kuranishi models

Dennis Borisov
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Abstract

A model structure is defined on the category of derived differentiable schemes, and it is used to analyse the truncation 2-functor from derived manifolds to d-manifolds. It is proved that the induced 1-functor between the homotopy categories is full and essentially surjective, giving a bijection between the sets of equivalence classes of objects. An example is constructed, showing that this 1-functor is not faithful.

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Dennis Borisov. 2014-01-12. Derived manifolds and Kuranishi models. https://arxiv.org/abs/1212.1153

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