THE Ext-TERM OF THE REAL-ORIENTED ADAMS-NOVIKOV SPECTRAL SEQUENCE
نویسنده
چکیده
The spectral sequence (1) was introduced in [9] and [8]. Here, BPR is the Realoriented Brown-Peterson spectrum, which was constructed from Landweber’s Real cobordism spectrum MR [10] by Araki [2]. These are Z/2-equivariant spectra, indexed on RO(Z/2). The subscript ⋆ refers to the RO(Z/2)-indexing, i. e. all (bi)degrees k + lα, k, l ∈ Z, where α is the sign representation of Z/2. Thus, the spectral sequence converges to the 2-primary components of the groups π Z/2 k+lαS 0 = π Z/2 k S . In the coefficient ring BPR⋆ = BPR Z/2 ⋆ (we will drop the group from the superscript to simplify the notation, see [9]), there are elements vn, which are analogues of the usual generators of BP∗. We also have an element a ∈ π⋆S 0 Z/2 defined by the cofiber sequence
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