B. Shoikhet

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math.QA2025

Generalised Joyal disks and $I^_{d}$ -colored $(d + 1)$ -operads

Boris Shoikhet

In this paper, we propose a method for constructing a colored $(d + 1)$ -operad $seq_{d}$ in $Sets$ , in the sense of Batanin [Ba1,2], whose category of colors (=the ca…

math.QA2024

The category $I^_{2}$ , derived modifications, and deformation theory of monoidal categories

Piergiorgio Panero, Boris Shoikhet

A complex $C^{∙} (C, D) (F, G) (I^\cdot, I^¸)$ , generalising the Davydov-Yetter complex of a monoidal category, is constructed. Here $C, D$ are $k$ -linear (dg) monoidal categories, $F,…

Generalised Joyal disks and I^d​-colored (d+1)-operads

The category I^2​, derived modifications, and deformation theory of monoidal categories

Generalised Joyal disks and $I^_{d}$ -colored $(d + 1)$ -operads

The category $I^_{2}$ , derived modifications, and deformation theory of monoidal categories