On the Berezinian of a moduli space of curves in P^{n|n+1}

M. Movshev

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On the Berezinian of a moduli space of curves in P^{n|n+1}

M. Movshev

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Abstract

A supermanifold P^{3|4} is a target space for twistor string theory. In this note we identify a line bundle of holomorphic volume elements BerM_gP^{3|4} defined on the moduli space of curves of genus g in P^{3|4} with a pullback of a line bundle defined on M_g(pt). We also give some generalizations of this fact.

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BibTeX RIS

M. Movshev. 2006-11-03. On the Berezinian of a moduli space of curves in P^{n|n+1}. https://arxiv.org/abs/math/0611061

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