Notes on the Adams Spectral Sequence
نویسنده
چکیده
The Adams spectral sequence is a powerful tool for computing homotopy groups of a spectrum, somehow taken with respect to a certain cohomology theory. In particular, it allows one to compute the homotopy groups of certain spaces, given sufficient input data. In this paper, we give a detailed development of the Adams spectral sequence, following Adams 1974 and Ravenel 2015. After a proof of convergence and identification of the E2-page, we use the Adams spectral sequence to sketch a proof of real Bott periodicity.
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