Academic literature on the topic 'K-theory'
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Journal articles on the topic "K-theory":
Ausoni, Christian, and John Rognes. "Algebraic K-theory of topological K-theory." Acta Mathematica 188, no. 1 (2002): 1–39. http://dx.doi.org/10.1007/bf02392794.
Mitchell, Stephen A. "Topological K-Theory of Algebraic K-Theory Spectra." K-Theory 21, no. 3 (November 2000): 229–47. http://dx.doi.org/10.1023/a:1026580718473.
Felisatti, Marcello. "Multiplicative K-theory and K-theory of Functors." Mediterranean Journal of Mathematics 5, no. 4 (December 2008): 493–99. http://dx.doi.org/10.1007/s00009-008-0163-0.
Bouwknegt, Peter, Alan L. Carey, Varghese Mathai, Michael K. Murray, and Danny Stevenson. "Twisted K-Theory and K-Theory of Bundle Gerbes." Communications in Mathematical Physics 228, no. 1 (June 1, 2002): 17–49. http://dx.doi.org/10.1007/s002200200646.
Loday, Jean-Louis. "Algebraic K-Theory and the Conjectural Leibniz K-Theory." K-Theory 30, no. 2 (October 2003): 105–27. http://dx.doi.org/10.1023/b:kthe.0000018382.90150.ce.
Kobal, Damjan. "K-Theory, Hermitian K-Theory and the Karoubi Tower." K-Theory 17, no. 2 (June 1999): 113–40. http://dx.doi.org/10.1023/a:1007799508729.
Charles Jones, Kevin, Youngsoo Kim, Andrea H. Mhoon, Rekha Santhanam, Barry J. Walker, and Daniel R. Grayson. "The Additivity Theorem in K-Theory." K-Theory 32, no. 2 (June 2004): 181–91. http://dx.doi.org/10.1023/b:kthe.0000037546.39459.cb.
Coutinho, Severino Collier, and Hvedri Inassaridze. "Algebraic K-Theory." Mathematical Gazette 81, no. 490 (March 1997): 167. http://dx.doi.org/10.2307/3618817.
Geisser, Thomas, Lars Hesselholt, Annette Huber-Klawitter, and Moritz Kerz. "Algebraic K-theory." Oberwolfach Reports 16, no. 2 (June 3, 2020): 1737–90. http://dx.doi.org/10.4171/owr/2019/29.
Chowdhry, Maya. "k/not theory." Journal of Lesbian Studies 4, no. 4 (December 2000): 59–70. http://dx.doi.org/10.1300/j155v04n04_05.
Dissertations / Theses on the topic "K-theory":
Gritschacher, Simon. "Commutative K-theory." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:5d5b0e20-20ef-4eec-a032-8bcb5fe59884.
Levikov, Filipp. "L-theory, K-theory and involutions." Thesis, University of Aberdeen, 2013. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?pid=201918.
Takeda, Yuichiro. "Localization theorem in equivariant algebraic K-theory." 京都大学 (Kyoto University), 1997. http://hdl.handle.net/2433/202419.
Stefański, Bogdan. "String theory, dirichlet branes and K-theory." Thesis, University of Cambridge, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.621023.
Braun, Volker Friedrich. "K-theory and exceptional holonomy in string theory." Doctoral thesis, [S.l.] : [s.n.], 2002. http://deposit.ddb.de/cgi-bin/dokserv?idn=965401650.
Mitchener, Paul David. "K-theory of C*-categories." Thesis, University of Oxford, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.365771.
Zakharevich, Inna (Inna Ilana). "Scissors congruence and K-theory." Thesis, Massachusetts Institute of Technology, 2012. http://hdl.handle.net/1721.1/73376.
Cataloged from PDF version of thesis.
Includes bibliographical references (p. 83-84).
In this thesis we develop a version of classical scissors congruence theory from the perspective of algebraic K-theory. Classically, two polytopes in a manifold X are defined to be scissors congruent if they can be decomposed into finite sets of pairwise-congruent polytopes. We generalize this notion to an abstract problem: given a set of objects and decomposition and congruence relations between them, when are two objects in the set scissors congruent? By packaging the scissors congruence information in a Waldhausen category we construct a spectrum whose homotopy groups include information about the scissors congruence problem. We then turn our attention to generalizing constructions from the classical case to these Waldhausen categories, and find constructions for cofibers, suspensions, and products of scissors congruence problems.
by Inna Zakharevich.
Ph.D.
Cain, Christopher. "K-theory of Fermat curves." Thesis, University of Cambridge, 2017. https://www.repository.cam.ac.uk/handle/1810/262483.
Bunch, Eric. "K-Theory in categorical geometry." Diss., Kansas State University, 2015. http://hdl.handle.net/2097/20350.
Department of Mathematics
Zongzhu Lin
In the endeavor to study noncommutative algebraic geometry, Alex Rosenberg defined in [13] the spectrum of an Abelian category. This spectrum generalizes the prime spectrum of a commutative ring in the sense that the spectrum of the Abelian category R − mod is homeomorphic to the prime spectrum of R. This spectrum can be seen as the beginning of “categorical geometry”, and was used in [15] to study noncommutative algebriac geometry. In this thesis, we are concerned with geometries extending beyond traditional algebraic geometry coming from the algebraic structure of rings. We consider monoids in a monoidal category as the appropriate generalization of rings–rings being monoids in the monoidal category of Abelian groups. Drawing inspiration from the definition of the spectrum of an Abelian category in [13], and the exploration of it in [15], we define the spectrum of a monoidal category, which we will call the monoidal spectrum. We prove a descent condition which is the mathematical formalization of the statment “R − mod is the category of quasi-coherent sheaves on the monoidal spectrum of R − mod”. In addition, we prove a functoriality condidition for the spectrum, and show that for a commutative Noetherian ring, the monoidal spectrum of R − mod is homeomorphic to the prime spectrum of the ring R. In [1], Paul Balmer defined the prime tensor ideal spectrum of a tensor triangulated cat- gory; this can be thought of as the beginning of “tensor triangulated categorical geometry”. This definition is very transparent and digestible, and is the inspiration for the definition in this thesis of the prime tensor ideal spectrum of an monoidal Abelian category. It it shown that for a polynomial identity ring R such that the catgory R − mod is monoidal Abelian, the prime tensor ideal spectrum is homeomorphic to the prime ideal spectrum.
Hedlund, William. "K-Theory and An-Spaces." Thesis, Uppsala universitet, Algebra och geometri, 2020. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-414082.
Books on the topic "K-theory":
Atiyah, Michael Francis. K-theory. Redwood City, Calif: Addison-Wesley Pub. Co., Advanced Book Program, 1989.
Srinivas, V. Algebraic K-theory. Boston: Birkhäuser, 1991.
Srinivas, V. Algebraic K-theory. 2nd ed. Boston: Birkhäuser, 1996.
Inassaridze, H. Algebraic K-theory. Dordrecht: Kluwer Academic Publishers, 1995.
Srinivas, V. Algebraic K-Theory. Boston, MA: Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-0-8176-4739-1.
Inassaridze, Hvedri. Algebraic K-Theory. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8569-9.
Srinivas, V. Algebraic K-Theory. Boston, MA: Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4899-6735-0.
Higson, Nigel. Analytic K-homology. Oxford: Oxford University Press, 2000.
International Meeting on K-theory (1992 : Institut de recherche mathématique avancée), ed. K-theory: Strasbourg, 1992. Paris: Société mathématique de France, 1994.
Penner, Robert. Topology and K-Theory. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43996-5.
Book chapters on the topic "K-theory":
Abrams, Gene, Pere Ara, and Mercedes Siles Molina. "K-Theory." In Lecture Notes in Mathematics, 219–57. London: Springer London, 2017. http://dx.doi.org/10.1007/978-1-4471-7344-1_6.
Shafarevich, Igor R. "K-theory." In Encyclopaedia of Mathematical Sciences, 230–39. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005. http://dx.doi.org/10.1007/3-540-26474-4_22.
Mukherjee, Amiya. "K-Theory." In Atiyah-Singer Index Theorem, 1–34. Gurgaon: Hindustan Book Agency, 2013. http://dx.doi.org/10.1007/978-93-86279-60-6_1.
Strung, Karen R. "K-theory." In Advanced Courses in Mathematics - CRM Barcelona, 175–200. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-47465-2_12.
Levine, Marc. "K-theory." In Mixed Motives, 357–69. Providence, Rhode Island: American Mathematical Society, 1998. http://dx.doi.org/10.1090/surv/057/08.
Aguilar, Marcelo, Samuel Gitler, and Carlos Prieto. "K-Theory." In Universitext, 289–307. New York, NY: Springer New York, 2002. http://dx.doi.org/10.1007/0-387-22489-0_9.
Husemoller, Dale. "Relative K-Theory." In Graduate Texts in Mathematics, 122–39. New York, NY: Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4757-2261-1_10.
Mukherjee, Amiya. "Equivariant K-Theory." In Atiyah-Singer Index Theorem, 178–99. Gurgaon: Hindustan Book Agency, 2013. http://dx.doi.org/10.1007/978-93-86279-60-6_7.
Dundas, Bjørn Ian, Thomas G. Goodwillie, and Randy McCarthy. "Algebraic K-Theory." In The Local Structure of Algebraic K-Theory, 1–61. London: Springer London, 2013. http://dx.doi.org/10.1007/978-1-4471-4393-2_1.
Feigin, B. L., and B. L. Tsygan. "Additive K-theory." In K-Theory, Arithmetic and Geometry, 67–209. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078368.
Conference papers on the topic "K-theory":
D'Ambrosio, Giancarlo. "Theory of rare $K$ decays." In 9th International Workshop on the CKM Unitarity Triangle. Trieste, Italy: Sissa Medialab, 2017. http://dx.doi.org/10.22323/1.291.0061.
Tamaki, Dai. "Twisting Segal's K-Homology Theory." In Proceedings of the Noncommutative Geometry and Physics 2008, on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814425018_0007.
D'Ambrosio, Giancarlo. "Theory of rare K decays." In The International Conference on B-Physics at Frontier Machines. Trieste, Italy: Sissa Medialab, 2018. http://dx.doi.org/10.22323/1.326.0027.
Mishchenko, Alexandr S. "K-theory over C*-algebras." In Geometry and Topology of Manifolds. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc76-0-13.
Jardine, John F. "The K–theory presheaf of spectra." In New topological contexts for Galois theory and algebraic geometry. Mathematical Sciences Publishers, 2009. http://dx.doi.org/10.2140/gtm.2009.16.151.
JOACHIM, MICHAEL. "UNBOUNDED FREDHOLM OPERATORS AND K-THEORY." In Proceedings of the School. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704443_0009.
Bass, H., A. O. Kuku, and C. Pedrini. "Algebraic K-Theory and its Applications." In Workshop and Symposium. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814528474.
Szabo, Richard J. "D-Branes and Bivariant K-Theory." In Proceedings of the Noncommutative Geometry and Physics 2008, on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year 2010 on Perspectives in Deformation Quantization and Noncommutative Geometry. WORLD SCIENTIFIC, 2013. http://dx.doi.org/10.1142/9789814425018_0005.
Nabeebaccus, Saad, and Roman Zwicky. "On the $ R_{K} $ theory error." In 11th International Workshop on the CKM Unitarity Triangle. Trieste, Italy: Sissa Medialab, 2023. http://dx.doi.org/10.22323/1.411.0071.
SATI, H. "SOME RELATIONS BETWEEN TWISTED K-THEORY AND E8 GAUGE THEORY." In Proceedings of the 32nd Coral Gables Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701992_0049.
Reports on the topic "K-theory":
Falco, Domenico, and Alessandro Giulini. Asymptotic Modeling of Wave Functions, Regular Curves and Riemannian K-Theory. Web of Open Science, February 2020. http://dx.doi.org/10.37686/qrl.v1i1.3.
Adams, Allan W. Strings, Branes and K-Theory from E{sub 8} Bundles in 11 Dimensions. Office of Scientific and Technical Information (OSTI), August 2002. http://dx.doi.org/10.2172/799922.
MARKOV, R. S., E. A. BURTSEVA, and E. I. SHURUPOVA. THE ORIGIN OF THE STATE IN THE SOCIO-PHILOSOPHICAL PARADIGM K. LEONTIEV. Science and Innovation Center Publishing House, April 2022. http://dx.doi.org/10.12731/2077-1770-2021-14-1-2-29-37.
Muller, L., G. Yang, and V. Comalino. Integrability in Constructive K-Theory mathematical model for operation algorithms of an airship anti-stealth radar. Web of Open Science, February 2020. http://dx.doi.org/10.37686/ser.v1i1.2.
MacFarlane, Andrew. 2021 medical student essay prize winner - A case of grief. Society for Academic Primary Care, July 2021. http://dx.doi.org/10.37361/medstudessay.2021.1.1.