Delooping the functor calculus tower
DOI10.1112/plms.12440zbMath1524.18023arXiv1708.02203OpenAlexW2794093275MaRDI QIDQ6051528
Victor Tourtchine, Julien Ducoulombier
Publication date: 20 September 2023
Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1708.02203
Fulton-MacPherson operadcoherent operadsgeneralized embedding spacesinfinitesimal bimodulesoperadic bimodules
Embeddings in differential topology (57R40) Singularities of differentiable mappings in differential topology (57R45) Loop space machines and operads in algebraic topology (55P48) Operads (general) (18M60) Classification of mappings in algebraic topology (55S37) Goodwillie calculus and functor calculus (18F50)
Cites Work
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- Manifold calculus and homotopy sheaves
- Long knots and maps between operads
- On an extension of the notion of Reedy category
- The classification of immersions of spheres in Euclidean spaces
- Little cubes and long knots
- Associahedron, cyclohedron and permutohedron as compactifications of configuration spaces
- A compactification of the real configuration space as an operadic completion
- Embeddings from the point of view of immersion theory. I
- Embeddings from the point of view of immersion theory. II
- Operads and motives in deformation quantization
- From local to global deformation quantization of Poisson manifolds
- Axiomatic homotopy theory for operads
- Short ropes and long knots
- The homotopy theory of operad subcategories
- The space of short ropes and the classifying space of the space of long knots
- Truncated operads and simplicial spaces
- Manifold-theoretic compactifications of configuration spaces
- Homotopy invariant algebraic structures on topological spaces
- Deformation quantization of Poisson manifolds
- Context-free manifold calculus and the Fulton-MacPherson operad
- Delooping derived mapping spaces of bimodules over an operad
- Polynomial monads and delooping of mapping spaces
- An additivity theorem for the interchange of \(E_n\) structures
- Delooping totalization of a multiplicative operad
- Embedding calculus knot invariants are of finite type
- The Boardman-Vogt resolution of operads in monoidal model categories
- On the rational homology of high-dimensional analogues of spaces of long knots
- Modules over operads and functors
- A convenient category of topological spaces
- Convenient categories of topological spaces for homotopy theory
- The geometry of iterated loop spaces
- Projective and Reedy model category structures for (infinitesimal) bimodules over an operad
- Deloopings of the spaces of long embeddings
- Formality of the little N-disks operad
- Multiple disjunction for spaces of smooth embeddings
- Homotopy theory for algebras over polynomial monads
- A Vietoris Mapping Theorem for Homotopy
- Operads and knot spaces
- The topology of spaces of knots: cosimplicial models
- Deformation theory of representations of prop(erad)s I
- Partial Differential Relations
- On the self-linking of knots
- From maps between coloured operads to Swiss-Cheese algebras
- Spaces of smooth embeddings and configuration categories
- Cosimplical objects and little n -cubes, I
- An operad for splicing
- Hodge-type decomposition in the homology of long knots
- On the delooping of (framed) embedding spaces
- Homotopy of Operads and Grothendieck–Teichmüller Groups
- Homotopy-everything 𝐻-spaces
- Homotopy Associativity of H-Spaces. I
- Deformation quantization of algebraic varieties.
- Every homotopy theory of simplicial algebras admits a proper model
- Homology of non-\(k\)-overlapping discs
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