Brown-Gitler spectra at BP〈2〉

Characterizations of Spectra with U–injective Cohomology Which Satisfy the Brown–gitler Property

We work in the stable homotopy category of p–complete connective spectra having mod p homology of finite type. H∗(X) means cohomology with Z/p coefficients, and is a left module over the Steenrod algebra A. A spectrum Z is called spacelike if it is a wedge summand of a suspension spectrum, and a spectrum X satisfies the Brown–Gitler property if the natural map [X,Z] −→HomA(H∗(Z), H∗(X)) is onto...

An Integral Version of the Brown - Gitler Spectrum

In this paper, certain spectra B^k) are studied whose behavior qualifies them as being integral versions of the Brown-Gitler spectra B(k). The bulk of our work emphasizes the similarities between B^(k) and B(k), shown mainly using the techniques of Brown and Gitler. In analyzing the homotopy type of B^k), we provide a free resolution over the Steenrod algebra for its cohomology and study its Ad...

Synthetic Spectra and Mass Determination of the Brown Dwarf Gl229B

Brown-Peterson spectra in stable A-homotopy theory

We characterize ring spectra morphisms from the algebraic cobordism spectrum MGL ([12]) to an oriented spectrum E (in the sense of Morel [4]) via formal group laws on the ”topological” subring E∗ = ⊕iE 2i,i of E∗∗. This result is then used to construct for any prime p a motivic Quillen idempotent on MGL(p). This defines the BP -spectrum associated to the prime p as in Quillen’s [6] for the comp...

LiHe spectra from brown dwarfs to helium clusters

The detection of Li I lines is the most decisive spectral indicator of substellarity for young brown dwarfs with masses below about 0.06 solar mass. Due to the weakness of the Li resonance lines, it is important to be able to model precisely both their core widths and their wing profiles. This allows an adequate prediction of the mass at which Li lines reappear in the spectra of brown dwarfs fo...