Tropical curves, graph complexes, and top weight cohomology of ℳ_ {ℊ}

M Chan, S Galatius, S Payne - Journal of the American Mathematical …, 2021 - ams.org
We study the topology of a space $\Delta _ {g} $ parametrizing stable tropical curves of
genus $ g $ with volume $1 $, showing that its reduced rational homology is canonically …

The rational homotopy of map** spaces of E operads

B Fresse, V Turchin, T Willwacher - ar** spaces $\mathrm {Map}^ h (\mathsf
D_m,\mathsf D_n^{\mathbb Q}) $ of the little discs operads in terms of graph complexes …

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 …

Invariant differential forms on complexes of graphs and Feynman integrals

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 …

[PDF][PDF] Graph homology computations

S Brun, T Willwacher - arxiv preprint arxiv:2307.12668, 2023 - arxiv.org
arxiv:2307.12668v1 [math.QA] 24 Jul 2023 Page 1 arxiv:2307.12668v1 [math.QA] 24 Jul 2023
GRAPH HOMOLOGY COMPUTATIONS SIMON BRUN AND THOMAS WILLWACHER Abstract …