The de Rham cohomology of soft function algebras

arXiv2208.11431MaRDI QIDQ6120516

Igor Baskov

Publication date: 21 February 2024

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11431

zbMATH Keywords

rational homotopy theoryde Rham cohomology of algebrasuniversal dg-algebra

Mathematics Subject Classification ID

(Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Sheaf cohomology in algebraic topology (55N30) Differential graded algebras and applications (associative algebraic aspects) (16E45)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Real homotopy theory of semi-algebraic sets
• The algebra of continuous piecewise polynomials
• Non-commutative differential geometry
• Algebraic characteristic classes for idempotent matrices
• Smooth regular neighborhoods
• Homotopy theory of rings
• Iterated Integrals, Fundamental Groups and Covering Spaces
• Smooth Manifolds and Observables
• Mixed Hodge Structures
• Cohomology in Banach algebras
• On the De Rham cohomology of algebraic varieties