Structured ring spectra and displays
نویسندگان
چکیده
We combine Lurie’s generalization of the Hopkins–Miller theorem with work of Zink–Lau on displays to give a functorial construction of even-periodic E1 ring spectra E , concentrated in chromatic layers 2 and above, associated to certain n n invertible matrices with coefficients in the Witt ring of 0.E/ . This is applied to examples related to Lubin–Tate and Johnson–Wilson spectra. We also give a Hopf algebroid presentation of the moduli of p–divisible groups of height greater than or equal to 2 .
منابع مشابه
Higher Homotopy Excision and Blakers–massey Theorems for Structured Ring Spectra
Working in the context of symmetric spectra, we prove higher homotopy excision and higher Blakers–Massey theorems, and their duals, for algebras and left modules over operads in the category of modules over a commutative ring spectrum (e.g., structured ring spectra).
متن کاملar X iv : 1 40 2 . 47 75 v 1 [ m at h . A T ] 1 9 Fe b 20 14 HIGHER HOMOTOPY EXCISION AND BLAKERS – MASSEY THEOREMS FOR STRUCTURED RING SPECTRA
Working in the context of symmetric spectra, we prove higher homotopy excision and higher Blakers–Massey theorems, and their duals, for algebras and left modules over operads in the category of modules over a commutative ring spectrum (e.g., structured ring spectra). We also prove analogous results for algebras and left modules over operads in unbounded chain complexes.
متن کاملSemisimple ring spectra
We define global dimension and weak dimension for the structured ring spectra that arise in algebraic topology. We provide a partial classification of ring spectra of global dimension zero, the semisimple ring spectra of the title. These ring spectra are closely related to classical rings whose projective modules admit the structure of a triangulated category. Applications to two analogues of t...
متن کاملThe Construction of E ∞ Ring Spaces From
The construction of E∞ ring spaces and thus E∞ ring spectra from bipermutative categories gives the most highly structured way of obtaining the K-theory commutative ring spectra. The original construction dates from around 1980 and has never been superseded, but the original details are difficult, obscure, and slightly wrong. We rework the construction in a much more elementary fashion.
متن کاملPOSITIVE AND NEGATIVE ION MASS SPECTRA OF RING - SUBSTITUTED NITROBENZENES
The 70 ev positive and negative ion mass spectra of ring-substituted nitrobenzenes were studied. The influence of the substituent group on the fragmentation modes of the molecular ions is discussed. The effect of pressure in the formation of negative ions was also studied. As expected, the ratio of fragment ions to negative molecular ions decreased with increasing pressure in ion source.
متن کامل