--- date: 2022-04-05 23:42 modification date: Monday 11th April 2022 00:29:12 title: "Papers to Read" aliases: [Papers to Read] --- Last modified date: <%+ tp.file.last_modified_date() %> --- - Tags: - #resources/recommendations #resources/papers - Refs: - - Links: - #todo/create-links --- # Papers to Read # Algebraic Topology Read classical papers by Adams, Pontryagin, Quillen, Serre, Sullivan, Thom. John Francis has a list of classical papers for the Kan seminar on his homepage. - A big list: - Another big list: - Algebraic Topology, The Kan Seminar #resources/papers - [https://math.vanderbilt.edu/bohmanar/literature.pdf](https://math.vanderbilt.edu/bohmanar/literature.pdf) Serre, J. -P. "[http://dx.doi.org/10.1007/BF02564562)." _Commentarii Mathematici Helvetici_ 27, no. 1 (1953](http://dx.doi.org/10.1007/BF02564562)." _Commentarii Mathematici Helvetici_ 27, no. 1 (1953): 198-232. Thom, R. "[http://dx.doi.org/10.1007/BF02566923)." _Commentarii Mathematici Helvetici_ 28 (1954](http://dx.doi.org/10.1007/BF02566923)." _Commentarii Mathematici Helvetici_ 28 (1954): 17-86. Milnor, J. W. "On the Construction FK." In _Algebraic Topology: A Student's Guide (London Mathematical Society Lecture Note)_. Vol. 4. Cambridge University Press, 1972, pp. 119-36. ISBN: 9780521080767. ———. "[http://www.jstor.org/stable/1969983)." _Annals of Mathematics_ 64, no. 2 (1956](http://www.jstor.org/stable/1969983)." _Annals of Mathematics_ 64, no. 2 (1956): 399-405. Milnor, J. W., and J. D. Stasheff. _Characteristic Classes_ _(Annals of Mathematics Studies)._ Vol. 76_._ Princeton University Press, 1974. ISBN: 9780691081229. \[[http://books.google.com/books?id=5zQ9AFk1i4EC&pg=PAfrontcover]]\] Milnor, J. W. "[http://www.jstor.org/stable/1969967)." _Annals of Mathematics_ 65, no. 2 (1957](http://www.jstor.org/stable/1969967)." _Annals of Mathematics_ 65, no. 2 (1957): 357-62. Moore, J. C. "Semi-simplicial complexes and Postnikov systems." In _Symposium Internacional de Topologia Algebraica_. La Universidad Nacional Autonoma de Mexico y la UNESCO, 1958, pp. 232-47. Bott, R. "[http://www.jstor.org/stable/1970106)." _Annals of Mathematics_ 70, no. 2 (1959](http://www.jstor.org/stable/1970106)." _Annals of Mathematics_ 70, no. 2 (1959): 313-37. Adams, J. F. "[http://www.jstor.org/stable/1970147)." _Annals of Mathematics_ 72, no. 1 (1960](http://www.jstor.org/stable/1970147)." _Annals of Mathematics_ 72, no. 1 (1960): 20-104. ———. "[http://www.jstor.org/stable/1970213)." _Annals of Mathematics_ 75, no. 3 (1962](http://www.jstor.org/stable/1970213)." _Annals of Mathematics_ 75, no. 3 (1962): 603-32. Brown, E. H., Jr.  "[http://www.jstor.org/stable/1970209)." _Annals of Mathematics_ 75, no. 3 (1962](http://www.jstor.org/stable/1970209)." _Annals of Mathematics_ 75, no. 3 (1962): 467-84. Kervaire, M. A., and J. W. Milnor. "[http://www.jstor.org/stable/1970128)." _Annals of Mathematics_ 77, no. 3 (1963](http://www.jstor.org/stable/1970128)." _Annals of Mathematics_ 77, no. 3 (1963): 504-37. Atiyah, M. F. _K-theory_ _(Advanced Book Classics)_. 2nd ed. Notes by D. W. Anderson. Addison Wesley Longman Publishing Company, 1989. ISBN: 9780201093940. Wall, C. T. C. "[http://www.jstor.org/stable/1970382)." _Annals of Mathematics_ 81, no. 1 (1965](http://www.jstor.org/stable/1970382)." _Annals of Mathematics_ 81, no. 1 (1965): 56-69. Adams, J. F. "[http://dx.doi.org/10.1016/0040-9383(66)90004-8)." _Topology_ 5, no. 1 (1966](http://dx.doi.org/10.1016/0040-9383(66)90004-8)." _Topology_ 5, no. 1 (1966): 21-71. Adams, J. F., and M. F. Atiyah. [http://dx.doi.org/10.1093/qmath/17.1.31)." _The Quarterly Journal of Mathematics_ 17, no. 1 (1966](http://dx.doi.org/10.1093/qmath/17.1.31)." _The Quarterly Journal of Mathematics_ 17, no. 1 (1966): 31-38. Quillen, D. G. _Homotopical Algebra (Lecture Notes in Mathematics)_. Vol. 43. Springer, 1967. ISBN: 9783540039143. Segal, G. "[http://dx.doi.org/10.1007/BF02684591)." __Publications Math´ematiques__ ___de__ I'lnstitut Hautes des E'tudes Scientifique_ 34, no. 1 (1968](http://dx.doi.org/10.1007/BF02684591)." __Publications Math´ematiques__ ___de__ I'lnstitut Hautes des E'tudes Scientifique_ 34, no. 1 (1968): 105-12. Atiyah, M. F., and G. Segal. "Equivariant K-theory and Completion." _Journal of Differential Geometry_ 3, no. 1-2 (1969): 1-18. Adams, J. F. "Quillen's Work on Formal Groups and Complex Cobordism." In _Stable Homotopy and Generalised Homology_ _(Chicago Lectures in Mathematics)_. University of Chicago Press, 1995. ISBN: 9780226005249. \[reprint of the 1974 original\] Quillen, D. G. "[http://www.jstor.org/stable/1970770)." _Annals of Mathematics_ 94, no. 3 (1971](http://www.jstor.org/stable/1970770)." _Annals of Mathematics_ 94, no. 3 (1971): 549-72. May, J. P. _The Geometry of Iterated Loop Spaces_ _(Lectures Notes in Mathematics)._ Vol. 271. Springer-Verlag, 1972. Quillen, D. G. "[http://www.jstor.org/stable/1970825)." _Annals of Mathematics_ 96, no. 3 (1972](http://www.jstor.org/stable/1970825)." _Annals of Mathematics_ 96, no. 3 (1972): 552-86. ———. "Algebraic K-theory I." In __Higher K-Theories (_Lecture Notes in Mathematics)_.__ Vol. 341. Springer, 1973, pp. 85-147. ISBN: 9783540064343. Nishida, G. "[http://dx.doi.org/10.2969/jmsj/02540707)." _Journal of the Mathematical Society of Japan_ 25, no. 4 (1973](http://dx.doi.org/10.2969/jmsj/02540707)." _Journal of the Mathematical Society of Japan_ 25, no. 4 (1973): 707-32. Adams, J. F. _Stable Homotopy and Generalised Homology_ _(Chicago Lectures in Mathematics)_. University of Chicago Press, 1995. ISBN: 9780226005249. \[reprint of the 1974 original\] Segal, G. "[http://dx.doi.org/10.1016/0040-9383(74)90022-6)." _Topology_ 13, no. 3 (1974](http://dx.doi.org/10.1016/0040-9383(74)90022-6)." _Topology_ 13, no. 3 (1974): 293-312. Bousfield, A. K. "[http://dx.doi.org/10.1016/0040-9383(75)90023-3)." _Topology_ 14, no. 2 (1975](http://dx.doi.org/10.1016/0040-9383(75)90023-3)." _Topology_ 14, no. 2 (1975): 133-50. Griffiths, P. A., and J. W. Morgan. _Rational Homotopy Theory and Differential Forms_. Birkh ̈auser, 1981. ISBN: 9783764330415. Adams, J. F. "Prerequisites (on equivariant stable homotopy theory) for Carlsson's lecture." In _Algebraic Topology_ _(Lecture Notes in Mathematics)_. Vol. 1051. Springer-Verlag, 1984, pp. 483-532. ISBN: 9780387129020. Waldhausen, F. "Algebraic K-theory of Spaces." In _Algebraic and Geometric Topology_ _(Lecture Notes in Mathematics)_. Vol. 1126. Springer, 1985, pp. 318-419. ISBN: 9783540152354. - Atiyah, M. F. Thom complexes. Proc. London Math. Soc. (3) 11 1961 291--310. - Adams, J. F. Vector fields on spheres. Ann. of Math. (2) 75 1962 603--632. - Atiyah, M. F.; Segal, G. B. Equivariant $K$-theory and completion. J. Differential Geometry 3 1969 1--18. - Atiyah, M. F.; Singer, I. M. Index theory for skew-adjoint Fredholm operators. Inst. Hautes Études Sci. Publ. Math. No. 37 1969 5--26. - Quillen, Daniel Elementary proofs of some results of cobordism theory using Steenrod operations. Advances in Math. 7 1971 29--56 (1971). - Segal, Graeme Categories and cohomology theories. Topology 13 (1974), 293--312. - Snaith, V. P. A stable decomposition of $\\Omega \\sp{n}S\\sp{n}X$. J. London Math. Soc. (2) 7 (1974), 577--583. - Sullivan, Dennis Genetics of homotopy theory and the Adams conjecture. Ann. of Math. (2) 100 (1974), 1--79. - Bousfield, A. K. The localization of spaces with respect to homology. Topology 14 (1975), 133--150. - McDuff, D.; Segal, G. Homology fibrations and the \`\`group-completion'' theorem. Invent. Math. 31 (1975/76), no. 3, 279--284. - Mahowald, Mark A new infinite family in ${}\\sb{2}\\pi\\sb {\*}{}\\sp s$. Topology 16 (1977), no. 3, 249--256. - Miller, Haynes R.; Ravenel, Douglas C.; Wilson, W. Stephen Periodic phenomena in the Adams-Novikov spectral sequence. Ann. Math. (2) 106 (1977), no. 3, 469--516. - Kahn, Daniel S.; Priddy, Stewart B. The transfer and stable homotopy theory. Math. Proc. Cambridge Philos. Soc. 83 (1978), no. 1, 103--111. - Bousfield, A. K. The localization of spectra with respect to homology. Topology 18 (1979), no. 4, 257--281. - Dwyer, W. G.; Kan, D. M. Simplicial localizations of categories. J. Pure Appl. Algebra 17 (1980), no. 3, 267--284. - Miller, Haynes R. On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space. J. Pure Appl. Algebra 20 (1981), no. 3, 287--312. - Cohen, F. R.; May, J. P.; Taylor, L. R. $K(Z,\\,0)$ and $K(Z\\sb{2},\\,0)$ as Thom spectra. Illinois J. Math. 25 (1981), no. 1, 99--106. - Adams, J. F. Prerequisites (on equivariant stable homotopy) for Carlsson's lecture. Algebraic topology, Aarhus 1982 (Aarhus, 1982), 483--532, Lecture Notes in Math., 1051, Springer, Berlin, 1984. - Jardine, J. F. Simplicial presheaves. J. Pure Appl. Algebra 47 (1987), no. 1, 35--87. - Morava, Jack Forms of $K$-theory. Math. Z. 201 (1989), no. 3, 401--428. - Martino, John; Priddy, Stewart The complete stable splitting for the classifying space of a finite group. Topology 31 (1992), no. 1, 143--156. - Aguilar, M. A.; Prieto, Carlos Quasifibrations and Bott periodicity. II Iberoamerican Conference on Topology and its Applications (Morelia, 1997). Topology Appl. 98 (1999), no. 1-3, 3--17. # Algebraic Geometry - Abramovich, Temkin, and Włodarczyk: Functorial embedded resolution via weighted blowings up - Araujo, Druel, Kovács: Cohomological characterizations of projective spaces and hyperquadrics. - Bayer, Lahoz, Macrì, Nuer, Perry, and Stellari: Stability conditions in families - Bhatt: On the direct summand conjecture and its derived variant - Birkar, Cascini, Hacon, McKernan: Existence of minimal models for varieties of log general type - Blanc and Cantat: Dynamical degrees of birational transformations of projective surfaces. - Blekherman, Smith, Velasco: Sums of squares and varieties of minimal degree. - Bondal and Orlov, Reconstruction of a variety from the derived category and groups of autoequivalences - Bridgeland: Stability conditions on triangulated categories - Cesnavicius and Scholze: Purity for flat cohomology - Eisenbud and Schreyer: Betti numbers of graded modules and cohomology of vector bundles. - Esnault and Mehta: Simply connected projective manifolds in characteristic p>0 have no nontrivial stratified bundles - Hassett, Pirutka, and Tschinkel: Stable rationality of quadric surface bundles over surfaces - Huh: Milnor numbers of projective hypersurfaces and the chromatic polynomial of graphs. - Kuznetsov, Homological projective duality - Laza, Saccà, Voisin: A hyper-Kähler compactification of the intermediate Jacobian fibration associated with a cubic 4-fold. - Maulik, Nekrasov, Okounkov, and Pandharipande: Gromov-Witten theory and Donaldson-Thomas theory. I & II - Nicaise and Shinder: The motivic nearby fiber and degeneration of stable rationality - Popa and Schnell: Kodaira dimension and zeros of holomorphic one-forms - Totaro: Hodge theory of classifying stacks. - Voisin: Unirational threefolds with no universal codimension 2 cycle ![Adams Atiyah, K Theory and the Hopf Invariant](attachments/adams1966.pdf)