Derived manifolds and Kuranishi models
Differential Geometry
2014-01-14 v2 Algebraic Topology
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.
Cite
@article{arxiv.1212.1153,
title = {Derived manifolds and Kuranishi models},
author = {Dennis Borisov},
journal= {arXiv preprint arXiv:1212.1153},
year = {2014}
}