In algebra, the ring of polynomial differential forms on the standard n-simplex is the differential graded algebra:[1]
Varying n, it determines the simplicial commutative dg algebra:
(each induces the map ).
References
edit- ^ Hinich 1997, § 4.8.1.
- Aldridge Bousfield and V. K. A. M. Gugenheim, §1 and §2 of: On PL De Rham Theory and Rational Homotopy Type, Memoirs of the A. M. S., vol. 179, 1976.
- Hinich, Vladimir (1997-02-11). "Homological algebra of homotopy algebras". arXiv:q-alg/9702015.
External links
edit- https://ncatlab.org/nlab/show/differential+forms+on+simplices
- https://mathoverflow.net/questions/220532/polynomial-differential-forms-on-bg