(Non-)formality of the extended Swiss Cheese operads

Thomas Willwacher

(Non-)formality of the extended Swiss Cheese operads

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 1706.02945 v2 pith:VGNIPVGL submitted 2017-06-09 math.QA math.AT

(Non-)formality of the extended Swiss Cheese operads

Thomas Willwacher This is my paper

classification math.QA math.AT

keywords diskslittleoperadscheeseextendedhomotopyrationalswiss

verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

0 comments

read the original abstract

We study two colored operads of configurations of little $n$-disks in a unit $n$-disk, with the centers of the small disks of one color restricted to an $m$-plane, $m<n$. We compute the rational homotopy type of these \emph{extended Swiss Cheese operads} and show how they are connected to the rational homotopy types of the inclusion maps from the little $m$-disks to the little $n$-disks operad.

discussion (0)

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

Factorization Algebras and Quantum Groups from Generalized Poisson Sigma Models
hep-th 2026-07 conditional novelty 7.5

Generalized Poisson sigma models realize deformation quantizations of holomorphic-topological factorization algebras and produce quantum groups as Koszul duals of their boundary algebras.