Shaul Barkan

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20222026

most citedHumanity's Last Exam

23 citations · 33 across the 11 of their papers we have counts for

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math.AT2022★ 1 cited

Explicit Square Zero Obstruction Theory

Shaul Barkan

We develop square zero obstruction theory for modules over $E_{1}$ -algebras in an arbitrary stable (presentably) monoidal $\infty$ -category. We explicitly describe the obstr…

math.AT2022★ 1 cited

The equifibered approach to $\infty$ -properads

Shaul Barkan, Jan Steinebrunner

We define a notion of $\infty$ -properads that generalises $\infty$ -operads by allowing operations with multiple outputs. Specializing to the case where each operation has a single…

math.CT2022★ 4 cited

Envelopes for Algebraic Patterns

Shaul Barkan, Rune Haugseng, Jan Steinebrunner

We generalize Lurie's construction of the symmetric monoidal envelope of an $\infty$ -operad to the setting of algebraic patterns. This envelope becomes fully faithful when sliced o…

math.AT2022★ 2 cited

Arity Approximation of $\infty$ -Operads

Shaul Barkan

Let $E_{d}$ denote the little discs operad for $1 \leq d \leq \infty$ and let $C$ be an $\infty$ -category all of whose mapping spaces are $n$ -truncated. We prove tha…

Explicit Square Zero Obstruction Theory

The equifibered approach to ∞-properads

Envelopes for Algebraic Patterns

Arity Approximation of ∞-Operads

The equifibered approach to $\infty$ -properads

Arity Approximation of $\infty$ -Operads