"Must read" papers in algebraic K-theory? - MathOverflow most recent 30 from http://mathoverflow.net 2013-06-19T08:19:18Z http://mathoverflow.net/feeds/question/54390 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/54390/must-read-papers-in-algebraic-k-theory "Must read" papers in algebraic K-theory? Topologieee 2011-02-05T08:46:02Z 2012-07-22T18:08:10Z <p>I'm mainly interested (graduate student) in surgery theory and geometric topology.</p> <p>If I have a chance to suggest "must read" papers in geometric topology for beginner, I'm very glad to suggest "Topological Library" books volume 1,2,3 (including monumental papers of Smale,Milnor,Kervaire-Milnor,Thom,Serre,Novikov...) available in the following cite.(volume 3 is not available in English edition up to now)</p> <p><a href="http://www.amazon.com/Topological-Library-Characteristic-Structures-Everything/dp/9812836861/ref=sr_1_1?s=books&amp;ie=UTF8&amp;qid=1296894607&amp;sr=1-1" rel="nofollow">http://www.amazon.com/Topological-Library-Characteristic-Structures-Everything/dp/9812836861/ref=sr_1_1?s=books&amp;ie=UTF8&amp;qid=1296894607&amp;sr=1-1</a></p> <p>Question: What are "must read" papers in algebraic K-theory? (I hope that most of them can be readable with basic understanding about classical K-theory such as Rosenberg's text or Milnor's ann. math. studies book)</p> http://mathoverflow.net/questions/54390/must-read-papers-in-algebraic-k-theory/54392#54392 Answer by Thomas Riepe for "Must read" papers in algebraic K-theory? Thomas Riepe 2011-02-05T09:39:00Z 2011-02-05T09:39:00Z <p>I'd say, of course Quillen's "Higher algebraic K-theory I", the <a href="http://www.math.uiuc.edu/K-theory/0981/" rel="nofollow" title="link">"K-theory Handbook"</a>.</p> http://mathoverflow.net/questions/54390/must-read-papers-in-algebraic-k-theory/54406#54406 Answer by K.J. Moi for "Must read" papers in algebraic K-theory? K.J. Moi 2011-02-05T14:59:48Z 2011-02-05T14:59:48Z <p><a href="http://www.maths.ed.ac.uk/~aar/surgery/rutgers/wald.pdf" rel="nofollow">Algebraic K-theory of spaces</a> by Friedhelm Waldhausen.</p> http://mathoverflow.net/questions/54390/must-read-papers-in-algebraic-k-theory/102886#102886 Answer by Steven Landsburg for "Must read" papers in algebraic K-theory? Steven Landsburg 2012-07-22T18:08:10Z 2012-07-22T18:08:10Z <p>The first few sections of the Thomason/Trobaugh paper constitute an exceptionally readable overview of the Waldhausen approach to K-theory, with very few prerequisites. </p>