Browsing by Subject "Algebraic Geometry"

Now showing 1 - 2 of 2
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    The Supermoduli Space of Genus Zero SUSY curves with Ramond Punctures
    (2020-08) Ott, Nadia
    A construction of the supermoduli space $\mnr$ of super Riemann surfaces of genus zero with $\nr$ Ramond punctures as a quotient Deligne-Mumford superstack of dimension $(\nr-3\, | \, \nr/2-2)$ is presented.
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    Weighted Quasimap Wall-crossing via Localization
    (2020-07) Pinharry, Michelle
    The aim of this paper is to prove a wall-crossing formula at the level of virtual fundamental classes of weighted stable quasimaps to a class of GIT quotients via localization. The idea of the proof is to use virtual localization on a larger moduli space, referred to as the ``master space'', the fixed-point loci of which are in one-to-one correspondence with the terms in the wall-crossing formula. As an immediate application, we obtain the modified string and dilaton equations for stable quasimaps to GIT quotients.