Open Access
December 2013 Moduli stacks of maps for supermanifolds
Tim Adamo, Michael Groechenig
Adv. Theor. Math. Phys. 17(6): 1303-1342 (December 2013).


We consider the moduli problem of stable maps from a Riemann surface into a supermanifold; in twistor-string theory, this is the instanton moduli space. By developing the algebraic geometry of supermanifolds to include a treatment of super-stacks we prove that such moduli problems, under suitable conditions, give rise to Deligne-Mumford superstacks (where all of these objects have natural definitions in terms of super-geometry). We make some observations about the properties of these moduli super-stacks, as well as some remarks about their application in physics and their associated Gromov-Witten theory.


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Tim Adamo. Michael Groechenig. "Moduli stacks of maps for supermanifolds." Adv. Theor. Math. Phys. 17 (6) 1303 - 1342, December 2013.


Published: December 2013
First available in Project Euclid: 21 August 2014

zbMATH: 1312.14039
MathSciNet: MR3262523

Rights: Copyright © 2013 International Press of Boston

Vol.17 • No. 6 • December 2013
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