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References Is Provisional, and Will Grow (Or Shrink) As the Course Progresses Note: This list of references is provisional, and will grow (or shrink) as the course progresses. It will never be comprehensive. See also the references (and the book) in the online version of Weibel's K- Book [40] at http://www.math.rutgers.edu/ weibel/Kbook.html. References [1] Armand Borel and Jean-Pierre Serre. Le th´eor`emede Riemann-Roch. Bull. Soc. Math. France, 86:97{136, 1958. [2] A. K. Bousfield. The localization of spaces with respect to homology. Topology, 14:133{150, 1975. [3] A. K. Bousfield and E. M. Friedlander. Homotopy theory of Γ-spaces, spectra, and bisimplicial sets. In Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977), II, volume 658 of Lecture Notes in Math., pages 80{130. Springer, Berlin, 1978. [4] Kenneth S. Brown and Stephen M. Gersten. Algebraic K-theory as gen- eralized sheaf cohomology. In Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), pages 266{ 292. Lecture Notes in Math., Vol. 341. Springer, Berlin, 1973. [5] William Dwyer, Eric Friedlander, Victor Snaith, and Robert Thoma- son. Algebraic K-theory eventually surjects onto topological K-theory. Invent. Math., 66(3):481{491, 1982. [6] Eric M. Friedlander and Daniel R. Grayson, editors. Handbook of K- theory. Vol. 1, 2. Springer-Verlag, Berlin, 2005. [7] Ofer Gabber. K-theory of Henselian local rings and Henselian pairs. In Algebraic K-theory, commutative algebra, and algebraic geometry (Santa Margherita Ligure, 1989), volume 126 of Contemp. Math., pages 59{70. Amer. Math. Soc., Providence, RI, 1992. [8] Henri Gillet and Daniel R. Grayson. The loop space of the Q- construction. Illinois J. Math., 31(4):574{597, 1987. 1 [9] Henri A. Gillet and Robert W. Thomason. The K-theory of strict Hensel local rings and a theorem of Suslin. In Proceedings of the Luminy confer- ence on algebraic K-theory (Luminy, 1983), volume 34, pages 241{254, 1984. [10] P. G. Goerss and J. F. Jardine. Simplicial Homotopy Theory, volume 174 of Progress in Mathematics. Birkh¨auserVerlag, Basel, 1999. [11] Daniel Grayson. Higher algebraic K-theory. II (after Daniel Quillen). In Algebraic K-theory (Proc. Conf., Northwestern Univ., Evanston, Ill., 1976), pages 217{240. Lecture Notes in Math., Vol. 551. Springer, Berlin, 1976. [12] Robin Hartshorne. Algebraic geometry. Springer-Verlag, New York, 1977. Graduate Texts in Mathematics, No. 52. [13] Jean-Claude Hausmann and Dale Husemoller. Acyclic maps. Enseign. Math. (2), 25(1-2):53{75, 1979. [14] Mark Hovey, Brooke Shipley, and Jeff Smith. Symmetric spectra. J. Amer. Math. Soc., 13(1):149{208, 2000. [15] J. F. Jardine. Simplicial objects in a Grothendieck topos. In Applications of algebraic K-theory to algebraic geometry and number theory, Part I, II (Boulder, Colo., 1983), pages 193{239. Amer. Math. Soc., Providence, RI, 1986. [16] J. F. Jardine. Supercoherence. J. Pure Appl. Algebra, 75(2):103{194, 1991. [17] J. F. Jardine. The K-theory of finite fields, revisited. K-Theory, 7(6):579{595, 1993. [18] J. F. Jardine. The Lichtenbaum-Quillen conjecture for fields. Canad. Math. Bull., 36(4):426{441, 1993. [19] J. F. Jardine. Generalized Etale´ Cohomology Theories, volume 146 of Progress in Mathematics. Birkh¨auserVerlag, Basel, 1997. [20] J. F. Jardine. Motivic symmetric spectra. Doc. Math., 5:445{553 (elec- tronic), 2000. 2 [21] J. F. Jardine. Presheaves of symmetric spectra. J. Pure Appl. Algebra, 150(2):137{154, 2000. [22] J. F. Jardine. Lectures on Homotopy Theory. http://www.math.uwo. ca/~jardine/papers/HomTh, 2014. [23] J. F. Jardine. Local Homotopy Theory. Manuscript, to appear in Springer Monographs in Mathematics, 2014. [24] J.F. Jardine. The Barratt-Priddy theorem. Preprint, http://www. math.uwo.ca/~jardine/papers/preprints, 2007. [25] J.F. Jardine. The K-theory presheaf of spectra. In New topological con- texts for Galois theory and algebraic geometry (BIRS 2008), volume 16 of Geom. Topol. Monogr., pages 151{178. Geom. Topol. Publ., Coventry, 2009. [26] John Milnor. Introduction to algebraic K-theory. Princeton University Press, Princeton, N.J., 1971. Annals of Mathematics Studies, No. 72. [27] Daniel Quillen. The Adams conjecture. Topology, 10:67{80, 1971. [28] Daniel Quillen. On the cohomology and K-theory of the general linear groups over a finite field. Ann. of Math. (2), 96:552{586, 1972. [29] Daniel Quillen. Higher algebraic K-theory. I. In Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), pages 85{147. Lecture Notes in Math., Vol. 341. Springer, Berlin, 1973. [30] Daniel Quillen. Homotopy properties of the poset of nontrivial p- subgroups of a group. Adv. in Math., 28(2):101{128, 1978. [31] V. V. Schechtman. On the delooping of Chern character and Adams operations. In K-theory, arithmetic and geometry (Moscow, 1984{1986), volume 1289 of Lecture Notes in Math., pages 265{319. Springer, Berlin, 1987. [32] Christian Schlichtkrull. The homotopy infinite symmetric product rep- resents stable homotopy. Algebr. Geom. Topol., 7:1963{1977, 2007. 3 [33] A. Suslin. On the K-theory of algebraically closed fields. Invent. Math., 73(2):241{245, 1983. [34] A. A. Suslin. Algebraic K-theory of fields. In Proceedings of the Inter- national Congress of Mathematicians, Vol. 1, 2 (Berkeley, Calif., 1986), pages 222{244, Providence, RI, 1987. Amer. Math. Soc. [35] Andrei Suslin and Vladimir Voevodsky. Singular homology of abstract algebraic varieties. Invent. Math., 123(1):61{94, 1996. [36] Andrei A. Suslin. On the K-theory of local fields. In Proceedings of the Luminy conference on algebraic K-theory (Luminy, 1983), volume 34, pages 301{318, 1984. [37] R. W. Thomason. Algebraic K-theory and ´etalecohomology. Ann. Sci. Ecole´ Norm. Sup. (4), 18(3):437{552, 1985. [38] R. W. Thomason and Thomas Trobaugh. Higher algebraic K-theory of schemes and of derived categories. In The Grothendieck Festschrift, Vol. III, volume 88 of Progr. Math., pages 247{435. Birkh¨auserBoston, Boston, MA, 1990. [39] Friedhelm Waldhausen. Algebraic K-theory of spaces. In Algebraic and geometric topology (New Brunswick, N.J., 1983), volume 1126 of Lecture Notes in Math., pages 318{419. Springer, Berlin, 1985. [40] Charles A. Weibel. The K-book, volume 145 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2013. An introduction to algebraic K-theory. 4.
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