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arXiv · 1905.06671

2-Segal objects and algebras in spans

Walker H. Stern
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Abstract

We define a category parameterizing Calabi-Yau algebra objects in an infinity category of spans. Using this category, we prove that there are equivalences of infinity categories relating, firstly: 2-Segal simplicial objects in C to algebra objects in Span(C); and secondly: 2-Segal cyclic objects in C to Calabi-Yau algebra objects in Span(C).

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BibTeXRIS

Walker H. Stern. 2019-05-16. 2-Segal objects and algebras in spans. https://arxiv.org/abs/1905.06671

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