Geometric higher groupoids and categories
Algebraic Geometry
2018-01-16 v3
Abstract
In an enriched setting, we show that higher groupoids and higher categories form categories of fibrant objects. The nerve of a differential graded algebra is a higher category in the category of algebraic varieties, where covers are defined to be smooth epimorphisms.
Cite
@article{arxiv.1508.02069,
title = {Geometric higher groupoids and categories},
author = {Kai Behrend and Ezra Getzler},
journal= {arXiv preprint arXiv:1508.02069},
year = {2018}
}
Comments
Proofs of Lemma 4.2 and Lemma 6.2 repaired, and other small changes