@article{57f4b213952d4e8da2b008bac242c249,
title = "Geometric higher groupoids and categories",
abstract = "In an enriched setting, we show that higher groupoids and higher categories form categories of fibrant objects, and that the nerve of a differential graded algebra is a higher category in the category of algebraic varieties.",
keywords = "Categories of fibrant objects, Higher categories, Higher groupoids, Higher stacks, Nerve",
author = "Kai Behrend and Ezra Getzler",
note = "Funding Information: We are grateful to Nick Roszenblyum for remarking that the path space of a quasi-category X is Hom(?1,X), and to Jesse Wolfson for many helpful discussions. The first author thanks Imperial College for its hospitality during the period when this paper was begun. The second author thanks the University of Geneva for its hospitality during the period when it was completed, and the Simons Foundation for support under a Collaboration Grant for Mathematicians. Parts of this paper paper were written while the second author held a Microsoft Research Visiting Fellowship at the Isaac Newton Institute of Mathematical Sciences of Cambridge University: this visit was also supported by EPSRC grant EP/K032208/1.",
year = "2017",
doi = "10.1007/978-3-319-49638-2_1",
language = "English (US)",
volume = "310",
pages = "1--45",
journal = "Progress in Mathematics",
issn = "0743-1643",
publisher = "Springer Basel AG",
}