En-algebra

symmetric monoidal (∞,1)-category of spectra An -algebra is an ∞-algebra over the E-k operad. -algebras are often called A-∞ algebras. See also algebra in an (∞,1)-category. An algebra in the symmetric monoidal (∞,1)-category Spec of spectra is a ring spectrum. The homology of an -algebra in chain complexes is a Gerstenhaber algebra. See E-∞ algebra. The homology of an -algebra for is a Poisson n-algebra. Moreover, in chain complexes over a field of characteristic 0 the E-n operad is formal,...