Never appeared forthcoming papers - MathOverflow [closed] most recent 30 from http://mathoverflow.net 2013-05-24T00:30:01Z http://mathoverflow.net/feeds/question/48477 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers Never appeared forthcoming papers domenico fiorenza 2010-12-06T19:58:30Z 2013-03-08T17:37:28Z <p>This has been inspired by this MO question: <a href="http://mathoverflow.net/questions/48174/harmonic-maps-into-compact-lie-groups" rel="nofollow">http://mathoverflow.net/questions/48174/harmonic-maps-into-compact-lie-groups</a></p> <p>Just for joking: which is your favourite never appeared forthcoming paper?</p> <p>(do not hesitate to close this question if unappropriate)</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48478#48478 Answer by Andreas Blass for Never appeared forthcoming papers Andreas Blass 2010-12-06T19:59:44Z 2010-12-06T19:59:44Z <p>Dana Scott and Robert Solovay, "Boolean-valued models of set theory"</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48482#48482 Answer by Nikita Sidorov for Never appeared forthcoming papers Nikita Sidorov 2010-12-06T20:16:28Z 2010-12-06T20:16:28Z <p>A. Bertrand-Mathis, Le $\theta$-shift sans peine</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48483#48483 Answer by Jason for Never appeared forthcoming papers Jason 2010-12-06T20:18:20Z 2010-12-06T20:18:20Z <p>This doesn't exactly count as an unpublished forthcoming paper, but the supposed original proof of Fermat's Last Theorem that was "too large to fit in the margin" should probably be mentioned here.</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48487#48487 Answer by Denis Serre for Never appeared forthcoming papers Denis Serre 2010-12-06T21:04:25Z 2010-12-06T21:04:25Z <p>This one is famous. It has been at the origin of a huge mathematical activity (conservation laws, homogenization, weak KAM, Hamilton-Jacobi equations, etc ...):</p> <blockquote> <p>P.-L. Lions, G. Papanicolaou, SRS Varadhan. <em>Homogenization of Hamilton-Jacobi equations</em></p> </blockquote> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48497#48497 Answer by Jim Humphreys for Never appeared forthcoming papers Jim Humphreys 2010-12-06T22:05:18Z 2010-12-06T22:05:18Z <p>Nobody can compete with Fermat, but papers confidently labelled with the roman numeral I and never followed by II might fit here. Of these my favorite is one by Tits, <em>Normalisateurs de tores I</em> in <em>J. Algebra</em> 4 (1966).</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48516#48516 Answer by Dave Anderson for Never appeared forthcoming papers Dave Anderson 2010-12-06T23:23:30Z 2010-12-06T23:23:30Z <p>The comment about stacks in the paper that first used them in an essential way probably belongs in this list:</p> <p>"Full details on the basic properties and theorems for algebraic stacks will be given elsewhere." (Deligne-Mumford, <em>The irreducibility of the space of curves of given genus</em>, 1969.)</p> <p>They don't quite say <em>they</em> will give the details in a paper, of course, so maybe it doesn't count.</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48517#48517 Answer by Philip Brooker for Never appeared forthcoming papers Philip Brooker 2010-12-06T23:35:02Z 2010-12-06T23:35:02Z <p>The books <em>Classical Banach Spaces III</em> and <em>Classical Banach Spaces IV</em> by Joram Lindenstrauss and Lior Tzafriri never appeared (after having been promised in various places of volumes I and II). </p> <p>As written by Albrecht Pietsch in his book <em>History of Banach Spaces and Linear Operators</em>, the reason the later volumes never appeared was that "the development was too vigorous. Thus, in order to finish this project, a complete rewriting would have been necessary". Even still, the influence of volumes I and II in Banach space theory has been exceedingly nontrivial; indeed, Pietsch also writes: "The two-volume treatise of Lindenstrauss/Tzafriri on <em>Classical Banach Spaces</em> has become the most important reference of the modern period".</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48533#48533 Answer by Gerry Myerson for Never appeared forthcoming papers Gerry Myerson 2010-12-07T04:44:54Z 2010-12-07T04:44:54Z <p>Volumes 4 through 7 of The Art Of Computer Programming. </p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48536#48536 Answer by Dan Ramras for Never appeared forthcoming papers Dan Ramras 2010-12-07T05:22:38Z 2010-12-07T05:22:38Z <p>I'm a fan of Peter May's book The Homotopical Foundation of Algebraic Topology (feel free to correct the title if I've got it wrong). It has been referred to by May in various places, and sounds really interesting! But it has never been written.</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48543#48543 Answer by David Farris for Never appeared forthcoming papers David Farris 2010-12-07T07:55:40Z 2010-12-07T08:03:23Z <p>Gromov's seminal "Pseudo holomorphic curves in symplectic manifolds" (1985) refers 10 or 15 times (for explanations of further applications that he only refers to or sketches briefly and for even "further discussion on $\overline{\partial}_\nu$ for non-regular curves") to his forthcoming "Pseudo holomorphic curves in symplectic manifolds, II", listed as "in press" by Springer.</p> <p>It never appeared. Gromov wrote a few later papers on symplectic geometry, but never returned to holomorphic curves. The paper is the foundation of modern symplectic topology (Floer homology, quantum cohomology, Gromov-Witten theory, symplectic field theory, etc.)</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48545#48545 Answer by arsmath for Never appeared forthcoming papers arsmath 2010-12-07T08:11:48Z 2010-12-07T08:11:48Z <p>Jeff Smith's book on combinatorial model categories. </p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48546#48546 Answer by Laurent Berger for Never appeared forthcoming papers Laurent Berger 2010-12-07T08:15:45Z 2010-12-07T08:15:45Z <p>Deligne's construction of the Galois representations attached to modular eigenforms (he did give a sketch in a Bourbaki talk though).</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48547#48547 Answer by Kevin Lin for Never appeared forthcoming papers Kevin Lin 2010-12-07T08:37:35Z 2010-12-07T08:37:35Z <p>The sequel to Kontsevich's "Deformation quantization of Poisson manifolds, I" has never appeared.</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48549#48549 Answer by Someone for Never appeared forthcoming papers Someone 2010-12-07T09:00:16Z 2010-12-07T09:00:16Z <p>How about "The classification of finite quasithin groups" by G. Mason from 1980? The classification of finite simple groups was announced when G. Mason was still working on this important case and he then abandoned the work. This hole in the classification was closed finally in 2004 by M. Aschbacher and S. D. Smith.</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48610#48610 Answer by anonymous for Never appeared forthcoming papers anonymous 2010-12-08T07:11:01Z 2010-12-08T07:11:01Z <p>W. Crawley-Boevey. <em>The Deligne-Simpson problem.</em></p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48613#48613 Answer by Christian Elsholtz for Never appeared forthcoming papers Christian Elsholtz 2010-12-08T08:29:11Z 2010-12-08T08:29:11Z <p>Here is a gap in a famous series of papers.</p> <p>G.H. Hardy, and J.E Littlewood Some problems in Partitio Numerorum, VII</p> <p>Their series of papers "Partitio Numerorum" is quite influential in the development of the Hardy-Littlewood circle method.</p> <p>Some comments on the missing part are on page 253 in a paper by R.C. Vaughan, Hardy's legacy to number theory, Journal of the Australian Mathematical Society (Series A) (1998), 65: 238-266. Cambridge University Press</p> <p><a href="http://journals.cambridge.org/action/displayAbstract?fromPage=online&amp;aid=4937088" rel="nofollow">http://journals.cambridge.org/action/displayAbstract?fromPage=online&amp;aid=4937088</a></p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48614#48614 Answer by Dan Petersen for Never appeared forthcoming papers Dan Petersen 2010-12-08T08:43:51Z 2010-12-08T08:43:51Z <p>There is a funny entry in the list of "Open problems and questions on the moduli space of curves" from a workshop in 2005, <a href="http://www.aimath.org/WWN/modspacecurves/modspacecurves.pdf" rel="nofollow">http://www.aimath.org/WWN/modspacecurves/modspacecurves.pdf</a></p> <p>(14) (Bertram) When will Getzler’s paper on $\overline{\mathcal M}_1$ appear (even just as a preprint)? Conjecture: $t \to \infty$. Getzler comments that he does not like how this question is phrased.</p> <p>Unfortunately I have no idea what paper is being referenced. Perhaps someone who knows can edit this post.</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48615#48615 Answer by Jonathan Wise for Never appeared forthcoming papers Jonathan Wise 2010-12-08T08:53:37Z 2010-12-08T08:53:37Z <p>EGA, Chapters 5 through 12</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/48652#48652 Answer by Jim Conant for Never appeared forthcoming papers Jim Conant 2010-12-08T15:23:43Z 2010-12-08T15:23:43Z <p>"The Aarhus integral of rational homology 3-spheres IV," by Bar-Natan, Garoufalidis, Rozansky and D. Thurston, never appeared. I think developments in the field overtook the need for the paper, which was referred to in the first paper in the series. This is a great series of papers by the way. Very clearly written.</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/49833#49833 Answer by anonymous for Never appeared forthcoming papers anonymous 2010-12-18T23:12:40Z 2010-12-18T23:12:40Z <p>B. Farb. <em>Automorphisms of</em> $F_n$ <em>which act trivially on homology.</em></p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/49842#49842 Answer by anonymous for Never appeared forthcoming papers anonymous 2010-12-19T01:45:13Z 2010-12-19T01:45:13Z <p>J. Berge. <em>Some knots with surgeries yielding lens spaces.</em></p> <p>(c. 1990; cited by 92 on Google Scholar.)</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/53164#53164 Answer by Gerry Myerson for Never appeared forthcoming papers Gerry Myerson 2011-01-25T00:37:25Z 2011-01-25T00:37:25Z <p>Steven Krantz tells the following story, Mathematical Apochrypha, page 136: </p> <p>My Ph.D. thesis was based in part on work of Walter Koppelman of the University of Pennsylvania. My source was a very brief research announcement that Koppelman had published in the Bulletin of the AMS. I could never find the promised subsequent paper that would fill in all the details, and I had to fill them in myself. I eventually went to my thesis advisor and asked him where the missing paper was. He said, "Oh, God. Don't you know?" And then he told me the sad story. There was a very unhappy graduate student at the University of Pennsylvania. He had had bad experiences with several thesis advisors (at least so he thought), the last being Koppelman. One day he went into the colloquium, shot the department chairman, shot Koppelman, and shot himself. Koppelman and the student died. </p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/57940#57940 Answer by John Klein for Never appeared forthcoming papers John Klein 2011-03-09T12:04:09Z 2011-03-09T16:46:38Z <p>The Igusa-Waldhausen paper (roughly) entitled, </p> <p><em>The expansion space model for</em> $Q(X_+)$</p> <p>which is supposed to give a very different proof of the splitting $A(X) = Q(X_+) \times \text{Wh}^{\text{diff}}(X)$ that is based on a description of $Q(X_+)$ as the moduli space of finite relative cell complexes over $X$.</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/57977#57977 Answer by Johannes Ebert for Never appeared forthcoming papers Johannes Ebert 2011-03-09T18:01:10Z 2011-03-09T18:23:26Z <p>Kervaire, Milnor: Groups of homotopy spheres II.</p> <p>In the introduction to part I, they write:</p> <p>"More detailed information about these groups will be given in Part II. For example, for $n = 1, 2, 3, \ldots, 18$, it will be shown that the order of the group $\theta_n$ is respectively:" (a table follows). Similar remarks are scattered throughout the text.</p> <p>The details have been written down by other people and it must be said that part I contains the much more complicated arguments.</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/58017#58017 Answer by Zoran Škoda for Never appeared forthcoming papers Zoran Škoda 2011-03-10T00:05:08Z 2011-03-10T00:05:08Z <ul> <li><p>S. Gel'fand, Yu. Manin, <em>Methods of homological algebra</em>, first appeared in Russian as Методы гомологической алгебры. Введение в теорию когомологий и производные категории. Т. 1 (that is VOLUME 1). Volume 2 has been given up and the Springer Western edition does not cite Russian original, has many typing errors in formulas which Russian original does not have and it scraped off the tome 1 from the title. </p></li> <li><p>M. Demazure, P. Gabriel, <em>Groupes algebriques</em>, tome 1, Mason and Cie, Paris 1970 -- later volumes never appeared</p></li> <li><p>Z. Semadeni, <em>Banach Spaces of Continuous Functions</em>, Polish Scientific Publishers, Warzawa, 1971, never appeared from the Polish Sci. Publ. There is however a different book with a similar title in Springer in 1982, Schauder bases in Banach spaces of continuous functions. Lecture Notes in Mathematics <strong>918</strong>. Springer 1982. v+136 pp. <a href="http://www.ams.org/mathscinet-getitem?mr=653986" rel="nofollow">MR83g:46023</a>.</p></li> <li><p>John W. Gray, <em>Formal category theory: adjointness for 2-categories</em>, Lecture Notes in Mathematics <em>391</em>, Springer-Verlag 1974. xii+282 pp. has been envisioned as a m3 volume project on formal category theory, some material is mentioned in volume 1 and never appeared. The monograph is very innovative and some of the material from the latter volumes was undoubtfully sketched by the author in some detail. The author later drifted to theoretical computer science. </p></li> <li><p>John Duskin started a paper in several parts "Nerves of bicategories", part I appeared with great delay, partly due serious health problem the author experienced few years ago. Second and third part did not appear, although the contents description looks very promising. We wish the author good health and more to be seen!</p></li> </ul> <p>Grothendieck planned not only later EGAs but also later SGA (e.g. some Berthelot's works in SGA 8). Bourbaki Elements are of course never finished as well (an now are very slow, asymptotically stalling) as the German encyclopedic work by Klein's students at the beginning of the 20th century. M. M. Postnikov wrote two volumes of a course on algebraic topology in Russian about basics of homotopy theory and promised the homology in "next semester" but no books appeared on that. </p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/123997#123997 Answer by Rhett Butler for Never appeared forthcoming papers Rhett Butler 2013-03-08T16:57:33Z 2013-03-08T16:57:33Z <p>Kurt Gödel referred to part II (Der wahre Grund für die Unvollständigkeit, welche allen formalen Systemen der Mathematik anhaftet, liegt, wie im II. Teil dieser Abhandlung gezeigt werden wird, darin, daß die Bildung immer höherer Typen sich ins Transfinite fortsetzen läßt) in his seminal paper <em>Über formal unentscheidbare Sätze der Principia Mathematica und verwandter Systeme I</em>, Monatshefte für Mathematik und Physik <strong>38</strong> (1931) p. 191. This part never appeared.</p> http://mathoverflow.net/questions/48477/never-appeared-forthcoming-papers/124001#124001 Answer by Hicham for Never appeared forthcoming papers Hicham 2013-03-08T17:37:28Z 2013-03-08T17:37:28Z <p>There is a result by Oesterle, that proves that you can find the first non residue quadratic modulo a prime in no more than $70\log(p)^2$ step assuming the GRH, this result was then improved by Bach who replaced the constant $70$ by $2$. The result of Oesterle was never published and when I asked him why, he told me because the laptop containing the proof was stolen from his car. However I think he exposed his proof to the mathematical community, so it is widely recognized. </p>