Jonathan Beardsley

most citedA User's Guide: Relative Thom Spectra via Operadic Kan Extensions

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math.CT2018

The Operadic Nerve, Relative Nerve, and the Grothendieck Construction

Jonathan Beardsley, Liang Ze Wong

We relate the relative nerve $N_{f} (D)$ of a diagram of simplicial sets $f : D \to sSet$ with the Grothendieck construction $Gr F$ …

math.CT2018

The Enriched Grothendieck Construction

Jonathan Beardsley, Liang Ze Wong

We define and study opfibrations of $V$ -enriched categories when $V$ is an extensive monoidal category whose unit is terminal and connected. This includes sets, simplicial sets, ca…