B Fresse, V Turchin, T Willwacher - arXiv preprint arXiv:1703.06123, 2017 - arxiv.org
We express the rational homotopy type of the mapping spaces $\mathrm {Map}^ h (\mathsf D_m,\mathsf D_n^{\mathbb Q}) $ of the little discs operads in terms of graph complexes …
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 …
F Brown - SIGMA. Symmetry, Integrability and Geometry: Methods …, 2021 - emis.de
We study differential forms on an algebraic compactification of a moduli space of metric graphs. Canonical examples of such forms are obtained by pulling back invariant …
We compute the weight 2 (resp.~ top $-2$) cohomology of the Feynman transforms of the cyclic (co) operads $\mathsf {BV} $, $ D\mathsf {BV} $, $\mathsf {Grav} $ and $\mathsf …
We establish a new and surprisingly strong link between two previously unrelated theories: the theory of moduli spaces of curves ${\mathcal M} _ {g, n} $(which, according to Penner, is …
A Andersson, T Willwacher, M Zivkovic - arXiv preprint arXiv:2005.00439, 2020 - arxiv.org
We discuss a graph complex formed by directed acyclic graphs with external legs. This complex comes in particular with a map to the ribbon graph complex computing the …
R Buring, AV Kiselev, NJ Rutten - Journal of Nonlinear Mathematical …, 2017 - Springer
The real vector space of non-oriented graphs is known to carry a differential graded Lie algebra structure. Cocycles in the Kontsevich graph complex, expressed using formal sums …
M Živković - arXiv preprint arXiv:1703.09605, 2017 - arxiv.org
We construct a direct quasi-isomorphism from Kontsevich's graph complex GC_n to the oriented graph complex OGC_ {n+ 1}, thus providing an alternative proof that the two …