Combinatorial and homotopical aspects of $E_{n}$-operads

We show that a certain class of categorical operads give rise to E_{n} -operads after geometric realization. The main arguments are purely combinatorial and avoid the technical topological assumptions otherwise found in the literature.

Authors

Institutions

Publication Details

Journal
Documenta Mathematica
Published
2026-06-16
DOI
https://doi.org/10.4171/dm/1080
Primary Topic
Advanced Topics in Algebra
Type
preprint
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Combinatorial and homotopical aspects of $E_{n}$-operads

Christian Schlichtkrull
Documenta Mathematica
Advanced Topics in Algebra
preprint

Combinatorial and homotopical aspects of $E_{n}$-operads

Christian Schlichtkrull
preprint en

Abstract

We show that a certain class of categorical operads give rise to E_{n} -operads after geometric realization. The main arguments are purely combinatorial and avoid the technical topological assumptions otherwise found in the literature.

Documenta Mathematica
University of Bergen (NO)
Openalex Percentile: Top 97%
Advanced Topics in Algebra
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Combinatorial and homotopical aspects of $E_{n}$-operads — Christian Schlichtkrull · Documenta Mathematica (2026) | TGRS Research Map | TGRS