English

Reduced K-Theory Relations of the Hopf Bundle over Lens Spaces

K-Theory and Homology 2012-09-21 v7 Number Theory

Abstract

We define a reduction, called complete reduction, for the K and KO relations of the Hopf bundle over lens spaces introducing some numbers of interest to various theories of mathematics. By the way, we make an interesting conjecture in number theory related to the cyclotomic fields.

Keywords

Cite

@article{arxiv.1106.1749,
  title  = {Reduced K-Theory Relations of the Hopf Bundle over Lens Spaces},
  author = {Mehmet Kırdar},
  journal= {arXiv preprint arXiv:1106.1749},
  year   = {2012}
}

Comments

6 pages, mistakes corrected and acknowledgement added to JKT, it has been withdrawn because the paper is repeating the very well formulas, like real K-theory of lens spaces, and for this reason it is unnecessarily too long. It should be much shorter, altough the idea of the paper is interesting