Schug, Jorin2023-04-132023-04-132023-02https://hdl.handle.net/11299/253716University of Minnesota Ph.D. dissertation. February 2023. Major: Mathematics. Advisor: Ionut Ciocan-Fontanine. 1 computer file (PDF); iii, 84 pages.The aim of this thesis is to prove a limit relation between the K-theoretic and cohomological small I-function for aptly defined Calabi-Yau GIT targets. The proof derives from description of inertia stack of the moduli of (0,2,d)-quasimaps with 0+-stability. As a corollary, we obtain an application to the integrality of the mirror map for a family of Calabi-Yau GIT targets.enConfluenceI-functionMirror MapThesis or Dissertation