K-Theory
An Approach to Algebraic K-theory
In the above QX is the loop space of X and K*X denotes the complex K-theory of X. It was shown in [ll] that statement (a) is equivalent to the main theorem and also that statement (a) implies statement (c).
[GV1] I. B. Gahramanov and G. S. Vartanov, Superconformal indices and partition functions for supersymmetric field theories, XVIIth International Congress on Mathematical Physics, World Sci. Publ., Hackensack, NJ, 2014, pp. 695–703.
This is done by means of the newly developed theory of generalized Milnor $K$-rings. The book emphasizes the close connections and interplay between valuations and orderings, and to a large extent, studies themin a unified manner.