KO-rings and J-groups of lens spaces
| buir.advisor | Dibağ, İbrahim | |
| dc.contributor.author | Kırdar, Mehmet | |
| dc.date.accessioned | 2016-01-08T20:20:21Z | |
| dc.date.available | 2016-01-08T20:20:21Z | |
| dc.date.issued | 1998 | |
| dc.department | Department of Mathematics | en_US |
| dc.description | Ankara : Department of Mathematics and the Institute of Engineering and Sciences of Bilkent University, 1998. | en_US |
| dc.description | Thesis (Ph.D.) -- Bilkent University, 1998. | en_US |
| dc.description | Includes bibliographical references leaves 55-58. | en_US |
| dc.description.abstract | In this thesis, we make the explicit computation of the real A'-theory of lens spaces and making use of these results and Adams conjecture, we describe their .7-groups in terms of generators and relations. These computations give nice by-products on some geometrical problems related to lens spaces. We show that J-groups of lens spaces approximate localized J-groups of complex projective spaces. We also make connections of the J-cornputations with the classical cross-section problem and the .James numbers conjecture. Many difficult geometric problems remain open. The results are related to some arithmetic on representations of cyclic groups o\er fields and the Atiyah-Segal isomormhisrn. Eventually, we are interested in representations over rings, in connection with Algebraic K-theory. This turns out to lie a very non-trivial arithmetic problem related to number theory. | en_US |
| dc.description.degree | Ph.D. | en_US |
| dc.description.statementofresponsibility | Kırdar, Mehmet | en_US |
| dc.format.extent | viii, 59 leaves | en_US |
| dc.identifier.uri | http://hdl.handle.net/11693/18554 | |
| dc.language.iso | English | en_US |
| dc.publisher | Bilkent University | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Topological K-Theory | en_US |
| dc.subject | Lens spaces | en_US |
| dc.subject | Representations of cyclic groups | en_US |
| dc.subject | J-groups | en_US |
| dc.subject | Im(J)-theory | en_US |
| dc.subject | Algebraic K-theory | en_US |
| dc.subject.lcc | QA612.33 .K57 1998 | en_US |
| dc.subject.lcsh | K-theory. | en_US |
| dc.subject.lcsh | Geometry, Algebraic. | en_US |
| dc.subject.lcsh | Representations of groups. | en_US |
| dc.subject.lcsh | Algebraic topology. | en_US |
| dc.title | KO-rings and J-groups of lens spaces | en_US |
| dc.type | Thesis | en_US |
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