The Super Mumford Form and the Sato Grassmannian
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We describe a supersymmetric generalization of the construction of Kontsevich and Arbarello, De Concini, Kac, and Procesi, which utilizes a relation between the moduli space of curves with the infinite-dimensional Sato Grassmannian. Our main result is the existence of a flat holomorphic connection on the line bundle $\lambda_{3/2}\otimes\lambda_{1/2}^{-5}$ on the moduli space of triples: a super Riemann surface, a Neveu-Schwarz puncture, and a formal coordinate system.
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University of Minnesota Ph.D. dissertation. May 2021. Major: Mathematics. Advisor: Alexander Voronov. 1 computer file (PDF); ii, 64 pages.
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Maxwell, Katherine. (2021). The Super Mumford Form and the Sato Grassmannian. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/224628.
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