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math.AT2024★ 1 cited
Unstable cohomology of and the odd commutative graph complex
Francis Brown, Simone Hu, Erik Panzer
We study a closed differential form on the symmetric space of positive definite matrices, which is defined using the Pfaffian and is invariant up to…
math.AG2024★ 1 cited
Hopf algebras in the cohomology of , , and
Francis Brown, Melody Chan, Søren Galatius +1
We describe a bigraded cocommutative Hopf algebra structure on the weight zero compactly supported rational cohomology of the moduli space of principally polarized abelian varietie…
math.NT2024★ 1 cited
The wheel classes in the locally finite homology of , canonical integrals and zeta values
Francis Brown, Oliver Schnetz
We compute the canonical integrals associated to wheel graphs, and prove that they are proportional to odd zeta values. From this we deduce that wheel classes define explicit non-z…