Y. Liu

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20242026

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math.AT2025

Unital k-Restricted Infinity-Operads

Amartya Shekhar Dubey, Yu Leon Liu

We study unital $\infty$ -operads by their arity restrictions. Given $k \geq 1$ , we develop a model for unital $k$ -restricted $\infty$ -operads, which are variants of $\infty$ -operad…

math.AT2024

$E_{n}$ -algebras in m-categories

Yu Leon Liu

We prove a connectivity bound for maps of $\infty$ -operads of the form $A_{k_{1}} \otimes \dots \otimes A_{k_{n}} \to E_{n}$ , and as a consequence, give an in…

math.AT2024

Braiding on complex oriented Soergel bimodules

Yu Leon Liu

In this note, we study U(n) Soergel bimodules in the context of stable homotopy theory. We define the $(\infty, 1)$ -category $SBim_{E} (n)$ of $E$ -valued U(n) Soergel bimodul…

Unital k-Restricted Infinity-Operads

En​-algebras in m-categories

Braiding on complex oriented Soergel bimodules

$E_{n}$ -algebras in m-categories