For every (∞,n)-category E, the stabilization of its slice category is equivalent to spectrum-valued functors on a twisted arrow category TwAr(E), yielding a deformation theory and a characterization of lax-idempotent monads.
A categorical characterization of strong stei ner ω -categories
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Deformation Theory for $(\infty,n)$-categories
For every (∞,n)-category E, the stabilization of its slice category is equivalent to spectrum-valued functors on a twisted arrow category TwAr(E), yielding a deformation theory and a characterization of lax-idempotent monads.