Weight 11 compactly supported cohomology of moduli spaces of curves

S Payne, T Willwacher - International Mathematics Research …, 2024 - academic.oup.com
We study the weight 11 part of the compactly supported cohomology of the moduli space of
curves, using graph complex techniques, with particular attention to the case. As …

A model for configuration spaces of points

R Campos, T Willwacher - Algebraic & Geometric Topology, 2023 - msp.org
We construct a real combinatorial model for the configuration spaces of points of compact
smooth oriented manifolds without boundary. We use these models to show that the real …

Derived coisotropic structures II: stacks and quantization

V Melani, P Safronov - Selecta Mathematica, 2018 - Springer
We extend results about n-shifted coisotropic structures from part I of this work to the setting
of derived Artin stacks. We show that an intersection of coisotropic morphisms carries a …

The Lambrechts–Stanley model of configuration spaces

N Idrissi - Inventiones mathematicae, 2019 - Springer
We prove the validity over RR of a commutative differential graded algebra model of
configuration spaces for simply connected closed smooth manifolds, answering a conjecture …

Universal first-order Massey product of a prefactorization algebra

S Bruinsma, A Schenkel, B Vicedo - arXiv preprint arXiv:2307.04856, 2023 - arxiv.org
This paper studies the universal first-order Massey product of a prefactorization algebra,
which encodes higher algebraic operations on the cohomology. Explicit computations of …

On the rational homotopy type of embedding spaces of manifolds in

B Fresse, V Turchin, T Willwacher - arXiv preprint arXiv:2008.08146, 2020 - arxiv.org
We study the spaces of embeddings of manifolds in a Euclidean space. More precisely we
look at the homotopy fiber of the inclusion of these spaces to the spaces of immersions. As a …

Commutative hairy graphs and representations of

V Turchin, T Willwacher - Journal of Topology, 2017 - Wiley Online Library
We express the hairy graph complexes computing the rational homotopy groups of long
embeddings (modulo immersions) of R m in R n as 'decorated'graph complexes associated …

[PDF][PDF] Derived Grothendieck–Teichmüller group and graph complexes [after T. Willwacher]

M Kontsevich - Séminaire Bourbaki, 2017 - bourbaki.fr
Séminaire BOURBAKI Janvier 2017 69ème année, 2016-2017, n 1126 DERIVED
GROTHENDIECK-TEICHMÜLLER GROUP AND GRAPH COMPLEXES [a Page 1 …

Two remarks on spaces of maps between operads of little cubes

G Horel, M Krannich, A Kupers - arXiv preprint arXiv:2211.00908, 2022 - arxiv.org
We record two facts on spaces of derived maps between the operads $ E_d $ of little $ d $-
cubes. Firstly, these mapping spaces are equivalent to the mapping spaces between the …

On the formality of the little disks operad in positive characteristic

P Boavida de Brito, G Horel - Journal of the London …, 2021 - Wiley Online Library
Using a variant of the Boardman–Vogt tensor product, we construct an action of the
Grothendieck–Teichmüller group on the completion of the little n‐disks operad E n. This …