3 papers
math.AG2024
The Neveu-Schwarz group and Schwarz's extended super Mumford form
Katherine A. Maxwell, Alexander A. Voronov
In 1987, Albert Schwarz suggested a formula which extends the super Mumford form from the moduli space of super Riemann surfaces into the super Sato Grassmannian. His formula is a…
math.AG2024
Toward the Universal Mumford form on Sato Grassmannians
Katherine A. Maxwell, Alexander A. Voronov
We construct a local universal Mumford form on a product of Sato Grassmannians using the flow of the Virasoro algebra. The existence of this universal Mumford form furthers the pro…
math-ph2020
The Super Mumford Form and Sato Grassmannian
Katherine A. Maxwell
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 cur…