Weight structures and formality
Algebraic Topology
2024-06-28 v1 Algebraic Geometry
Abstract
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 purity property, one can deduce formality. Algebraic geometry provides us with such weight structures as the cohomology of algebraic varieties tends to present additional structures including a Hodge structure or a Galois action.
Cite
@article{arxiv.2406.19142,
title = {Weight structures and formality},
author = {Coline Emprin and Geoffroy Horel},
journal= {arXiv preprint arXiv:2406.19142},
year = {2024}
}
Comments
40 pages