The Limit of the Small I-function for Calabi-Yau GIT Targets and an Application to the Integrality of the Mirror Map

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The Limit of the Small I-function for Calabi-Yau GIT Targets and an Application to the Integrality of the Mirror Map

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2023-02

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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.

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University of Minnesota Ph.D. dissertation. February 2023. Major: Mathematics. Advisor: Ionut Ciocan-Fontanine. 1 computer file (PDF); iii, 84 pages.

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Schug, Jorin. (2023). The Limit of the Small I-function for Calabi-Yau GIT Targets and an Application to the Integrality of the Mirror Map. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/253716.

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