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math.CT2014
What do homotopy algebras form?
Vasily A. Dolgushev, Alexander E. Hoffnung, Christopher L. Rogers
In paper arXiv:1406.1744, we constructed a symmetric monoidal category whose objects are shifted (and filtered) L-infinity algebras. Here, we fix a cooperad and show…
math.CT2011★ 13 cited
Spans in 2-Categories: A monoidal tricategory
Alexander E. Hoffnung
We present Trimble's definition of a tetracategory and prove that the spans in (strict) 2-categories with certain limits have the structure of a monoidal tricategory, defined as a…