TL;DR
This paper introduces a new complete reduction method for K-theory relations in the context of Hopf bundles over lens spaces, and proposes a conjecture linking it to cyclotomic fields in number theory.
Contribution
It defines the complete reduction for K and KO relations in a novel setting and connects it to an open conjecture in number theory.
Findings
New reduction method for K-theory relations
Introduction of interesting numerical invariants
A conjecture relating to cyclotomic fields
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. Along the way, we make an interesting conjecture in number theory related to the cyclotomic fields.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry