Weight structures and formality

التفاصيل البيبلوغرافية
العنوان: Weight structures and formality
المؤلفون: Emprin, Coline, Horel, Geoffroy
المصدر: Higher Structures and Operadic Calculus, Advanced Courses in Mathematics - CRM Barcelona, Springer, 2024
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Topology, Mathematics - Algebraic Geometry, 18M70, 18N40, 18N50, 18N60, 22E60, 55P62
الوصف: 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.
Comment: 40 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.19142
رقم الأكسشن: edsarx.2406.19142
قاعدة البيانات: arXiv