Oriented One-Dimensional Supersymmetric Euclidean Field Theories and K-Theory

This dissertation defines a simplicial set 1|1−EFT of certain functorial quantum field theories and determines that it has the homotopy type of a representing space for K-theory. There have been other spaces of 1-dimensional supersymmetric Euclidean field theories related to the K-theory spectrum; novel aspects of the approach in this dissertation are the use of non-projective modules in the algebraic codomain of the functors defining 1|1−EFT and the use of an oriented bordism category whose space of connected endomorphisms of the super-point is connected.