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arXiv · 1508.02069

Geometric higher groupoids and categories

Kai Behrend·Ezra Getzler
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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.

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Kai Behrend, Ezra Getzler. 2015-08-09. Geometric higher groupoids and categories. https://doi.org/10.1007/978-3-319-49638-2_1

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