Adams-Novikov spectral sequence at p = 2 - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-24T06:39:09Z http://mathoverflow.net/feeds/question/120197 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/120197/adams-novikov-spectral-sequence-at-p-2 Adams-Novikov spectral sequence at p = 2 Dan Isaksen 2013-01-29T11:09:46Z 2013-01-29T12:50:34Z <p>Does anyone know of any computer calculations of the E2-term of the Adams-Novikov spectral sequence at p=2?</p> <p>I'd love to get my hands on this data.</p> http://mathoverflow.net/questions/120197/adams-novikov-spectral-sequence-at-p-2/120204#120204 Answer by Christian Nassau for Adams-Novikov spectral sequence at p = 2 Christian Nassau 2013-01-29T12:50:34Z 2013-01-29T12:50:34Z <p>I don't think anybody knows how to compute this \$E_2\$-term efficiently (not just at the prime \$2\$). I would love to be proved wrong on this, of course. </p> <p>So far the only documented, algorithmic method that has any chance to be computationally succesful seems to be the method described by Zahler in 1969/1970.</p> <p>You could use my programs to compute the \$E_2\$-term of the algebraic Novikov spectral sequence</p> <p>\$\$\operatorname{Ext}_{EA}(F_2,F_2) \Rightarrow {\operatorname{Ext}}(BP_{\ast},BP_{\ast})\$\$</p> <p>where \$EA\$ is an associated graded of the \$2\$-primary Steenrod algebra. But of course that's only a very rough approximation to the Novikov \$E_2\$-term. </p>