Source: wikibot/twisted-k-theory
= Twisted K-theory
{wiki=Twisted_K-theory}
Twisted K-theory is an extension of the classical K-theory, which is a branch of algebraic topology dealing with vector bundles over topological spaces. K-theory, in its classical sense, captures information about vector bundles via groups known as K-groups, denoted \\( K^0(X) \\) and \\( K^1(X) \\), where \\( X \\) is a topological space.