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Theta characteristics and their moduli

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arxiv 1201.2557 v3 pith:X7E5H2VD submitted 2012-01-12 math.AG

Gavril Farkas This is my paper · ORCID
classification math.AG
keywords modulithetacharacteristicsgeometrytheoryaspectsbirationalclassical
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We discuss various aspects of the geometry of theta characteristics including the birational geometry of the spin moduli space of curves, parametrization of moduli via special K3 surfaces, as well as the relation with classical theta function theory and string theory in the form of the superstring measure. A historical view of the development of the subject is also presented.

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  1. Genus 2 Superstring Chiral Measure From The 3-Dimensional Gelca-Hamilton TQFT

    hep-th 2024-11 conditional novelty 4.0 of 10

    Known one- and two-loop superstring chiral measures are restated as path integrals of the Gelca-Hamilton 3D TQFT over handlebodies, with modular transformations interpreted as bulk mapping class group moves.

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