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Formality of a
higher-codimensional Swiss-cheese operad
Najib Idrissi |
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Algebraic & Geometric Topology 22 (2022) 55–111
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Abstract |
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We study bicolored configurations of points in the Euclidean –space that are constrained to remain either inside or outside a fixed Euclidean –subspace, with . We define a higher-codimensional variant of the Swiss-cheese operad, called the complementarily constrained disks operad , associated to such configurations. The operad is weakly equivalent to the operad of locally constant factorization algebras on the stratified space . We prove that this operad is formal over . |
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Keywords
Fulton–MacPherson compactification, graph complexes,
constrained little disks, semialgebraic forms, relative
loop spaces
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Mathematical Subject Classification 2010
Primary: 18D50, 55P48
Secondary: 55R80
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References |
Publication
Received: 23 January 2019
Revised: 23 October 2020
Accepted: 8 December 2020
Published: 26 April 2022
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Authors |
| Najib Idrissi | |
| IMJ-PRG CNRS Université de Paris and Sorbonne Université Paris France |
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