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 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 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>