An Atiyah-Hirzebruch spectral sequence for topological André-Quillen homology
Let \(A\) be a commutative augmented algebra over a field \(k\). This paper establishes the existence of a spectral sequence convergent to \(TAQ_{p+q} (A\mid k; k)\) with \(E_2\) term \(TAQ_q(k[x]\mid k;k) \otimes AQ_p(A\mid k;k)\). Here \(AQ\) denotes the André-Quillen homology of \(A\) and \(TAQ\) denotes topological André-Quillen homology, by which the author means the Gamma homology of Robinson and Whitehouse. This spectral sequence is used to compute \(TAQ\) for truncated polynomial algebras.
scientific article; zbMATH DE number 1787439