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The moduli space of super J-holomorphic curves of genus zero is split

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Speaker: 
Enno Keßler
Affiliation: 
MPIM
Date: 
Thu, 2022-05-12 15:00 - 16:00
Parent event: 
MPI-Oberseminar

For zoom details contact Christian Kaiser (kaiser@mpim-bonn.mpg.de)

 

Split supermanifolds are particularly simple supermanifolds where the anticommuting directions are obtained as sections of a vector bundle. Super J-holomorphic curves are maps from a super Riemann surfaces to an almost Kähler manifold that satisfy the Cauchy-Riemann equations. Hence, super J-holomorphic curves generalize J-holomorphic curves to supergeometry in many aspects. In this talk, I will argue that the moduli space of super J-holomorphic curves of genus zero is split. That is, the moduli space of super J-holomorphic curves of genus zero is completely determined by a vector bundle over the moduli space of classical J-holomorphic curves of genus zero.

 

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