WebThe above properties of the Dyer-Lashof operations are proved by showing that the general algebraic considerations of J. P. May [16] are applicable to the homology of C-spaces for C an EOO-operad. Many of these basic properties of Dyer-Lashof operations were first proved in S. Araki and T. Kudo [3], E. Dyer and R. Lashof [91 and G. Nishida … WebFeb 10, 2024 · In particular, we discuss Dyer-Lashof operations and their evolving role in the study of iterated loop spaces, -algebras, and -ring spectra. We will make use of these …

Dyer-Lashof operations in K-theory SpringerLink

Webterritory. See section 6 and, more generally, [18]. It is here that the Dyer-Lashof operations – which have to arise somewhere – reappear in an explicit manner. The moduli space of all possible realizations of a commutative E ∗-algebra Ain E ∗E-comodules is a Dwyer-Kan classification space in the sense of [12]. WebDyer-Lashof operations, so are difficult to work with. Here, as in our work on symmetric groups and alternating groups [Gue17, GSS12, GS17], we find that cohomology ring structure is best understood when coupled with a transfer (or induction) product, first defined by Strickland and Turner [ST97]. Our cis meeting 2024

Dyer-Lashof operations in the string topology of spheres and …

WebOct 24, 2016 · for Operations and Management Memo, dated January 02, 2009. f. Requirements have been updated on the use of mandatory categories, ## inventory … WebDyer-Lashof operations and Hopkins-Mahowald’s theorem that there is an equivalence of E 2-ring spectra HF p’M(W2S3!BGL 1(S^)). Note that Bökstedt’s theorem reduces to the following fact: Claim 0.1. THH(F p)=HF p S¥+WS3. Then THH (F p) = p (THH(F p)) is the homology of WS3 with F p coefficients, which has a single generator in degree 2. WebOct 24, 2008 · We give a complete description of the additive Dyer-Lashof operations on the Hopf ring with coefficients in . We re-prove a result of Ravenel and Wilson [9] giving … cis memory