K-theory

In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or scheme. In algebraic topology, it is a cohomology theory known as topological K-theory. In algebra and algebraic geometry, it is referred to as algebraic K-theory. It is also a fundamental tool in the field of operator algebras. It can be seen as the study of certain kinds of invariants of large matrices.

Abelian group constructed universally from a commutative monoid

branch of algebraic topology

lift of the SO(n) frame bundle of an oriented Riemannian manifold into Spin(n), the spin group

fiber bundle whose fibers are circles

algebraic invariant

mathematical conjecture