5 papers · 1 filter
Genus 4 Supermoduli Space Is Not Projected
Ron Donagi, Simone Noja
The supermoduli stack , parametrizing smooth unpunctured super Riemann surfaces of genus , is known to be non-projected for . We extend this result to…
Shifted Poisson unfoldings and quantum anomalies
Mauricio Corrêa, Simone Noja
Families of classical field theories often depend on geometric parameters. A basic question is whether the corresponding classical observables can be compared by flat parallel tran…
A categorical and algebro-geometric theory of localization
Mauricio Corrêa, Simone Noja
We develop a categorical and algebro-geometric theory of localisation for cohomological theories with open--closed recollement. A class whose restriction to the open complement van…
Compactified supermoduli space is almost never projected
Mauricio Corrêa, Simone Noja
We settle the projectedness problem for the compactified unpunctured supermoduli stack in every genus at least two. In genus two, the odd component is split, whereas the even compo…
Formal moduli and the splitting theory of supermanifolds
Mauricio Corrêa, Simone Noja
We develop a formal moduli theory for the splitting problem of complex supermanifolds. Starting from Green's obstruction tower, we construct a finite-step filtered dg Lie algebra w…