BP -Theory and the Adams–Novikov Spectral Sequence
ثبت نشده
چکیده
منابع مشابه
On Novikov’s Ext’ modulo an Invariant Prime Ideal
IN HIS WORK on complex cobordism [ 181 Novikov introduced a spectral sequence converging to the stable homotopy of a space, depending only on the complex cobordism of the space as a module over the ring of primary complex cobordism operations. This spectral sequence can be localized at a prime p and one can work, as Novikov did, with the smaller theory, BP*( ), known as Brown-Peterson cohomolog...
متن کاملReal-oriented homotopy theory and an analogue of the Adams}Novikov spectral sequence
Using the Landweber}Araki theory of Real cobordism and Real-oriented spectra, we de"ne a Real analogue of the Adams}Novikov spectral sequence. This is a new spectral sequence with a potentially calculable E 2 -term. It has versions converging to either the Z/2-equivariant or the non-equivariant stable 2-stems. We also construct a Real analogue of the Miller}Novikov &algebraic' spectral sequence...
متن کاملTHE FIRST ADAMS-NOVIKOV DIFFERENTIAL FOR THE SPECTRUM T (m)
There are p-local spectra T (m) with BP∗(T (m)) = BP∗[t1, . . . , tm]. In this paper we determine the first nontrivial differential in the Adams– Novikov spectral sequence for each of them for p odd. For m = 0 (the sphere spectrum) this is the Toda differential, whose source has filtration 2 and whose target is the first nontrivial element in filtration 2p + 1. The same goes for m = 1, and for ...
متن کاملROOTS OF UNITY AND THE ADAMS-NOVIKOV SPECTRAL SEQUENCE FOR FORMAL yl-MODULES
The cohomology of a Hopf algebroid related to the Adams-Novikov spectral sequence for formal ,4-modules is studied in the special case in which A is the ring of integers in the field obtained by adjoining pth roots of unity to Qp , the p-adic numbers. Information about these cohomology groups is used to give new proofs of results about the E2 term of the Adams spectral sequence based on 2-local...
متن کاملThe Methods of Algebraic Topology from the Viewpoint of Cobordism Theory
The goal of this work is the construction of the analogue to the Adams spectral sequence in cobordism theory, calculation of the ring of cohomology operations in this theory, and also a number of applications: to the problem of computing homotopy groups and the classical Adams spectral sequence, fixed points of transformations of period p, and others.
متن کامل