Mixed Hodge structures and formality of symmetric monoidal functors
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 …
coefficients is formal as a lax symmetric monoidal functor, when restricted to complex …
Homology operations for gravity algebras
T Rossi - arXiv preprint arXiv:2404.10639, 2024 - arxiv.org
Let $\mathcal {M} _ {0, n+ 1} $ be the moduli space of genus zero Riemann surfaces with $
n+ 1$ marked points. In this paper we compute $ H_*^{\Sigma_n}(\mathcal {M} _ {0, n+ …
n+ 1$ marked points. In this paper we compute $ H_*^{\Sigma_n}(\mathcal {M} _ {0, n+ …
Weight structures and formality
C Emprin, G Horel - arXiv preprint arXiv:2406.19142, 2024 - arxiv.org
This is a survey on formality results relying on weight structures. A weight structure is a
naturally occurring grading on certain differential graded algebras. If this weight satisfies a …
naturally occurring grading on certain differential graded algebras. If this weight satisfies a …
Kaledin classes and formality criteria
C Emprin - arXiv preprint arXiv:2404.17529, 2024 - arxiv.org
We develop a general obstruction theory to the formality of algebraic structures over any
commutative ground ring. It relies on the construction of Kaledin obstruction classes that …
commutative ground ring. It relies on the construction of Kaledin obstruction classes that …