Mixed Hodge structures and formality of symmetric monoidal functors

J Cirici, G Horel - arXiv preprint arXiv:1703.06816, 2017 - arxiv.org
We use mixed Hodge theory to show that the functor of singular chains with rational
coefficients is formal as a lax symmetric monoidal functor, when restricted to complex …

Étale homological stability and arithmetic statistics

B Farb, J Wolfson - Quarterly Journal of Mathematics, 2018 - ieeexplore.ieee.org
We relate asymptotic point counts and arithmetic statistics over finite fields to homological
stability and representation stability over C in the example of configuration spaces of n …

Motive of the moduli stack of rational curves on a weighted projective stack

JY Park, H Spink - Research in the Mathematical Sciences, 2021 - Springer
We show the compactly supported motive of the moduli stack of degree n rational curves on
the weighted projective stack P (a, b) P (a, b) is of mixed Tate type over any base field K with …

[PDF][PDF] Motivic homological stability of configuration spaces

G Horel, M Palmer - arXiv preprint arXiv:2007.13718, 2020 - arxiv.org
arXiv:2007.13718v2 [math.AT] 26 Oct 2022 Page 1 arXiv:2007.13718v2 [math.AT] 26 Oct 2022
MOTIVIC HOMOLOGICAL STABILITY OF CONFIGURATION SPACES GEOFFROY HOREL …

Mixed Hodge structures and formality

G Horel - arXiv preprint arXiv:1610.03267, 2016 - arxiv.org
[1610.03267] Mixed Hodge structures and formality Skip to main content Cornell University We
gratefully acknowledge support from the Simons Foundation, member institutions, and all …