Constructs Laughlin bundles over the m-quasihole symmetric power of a curve, derives their Chern characters via GRR, establishes projective flatness in the filled case, and verifies the classes reproduce the Aharonov-Bohm plus fractional-statistics decomposition of the Berry phase in genus 0 and 1.
Berezin, Introduction to superanalysis, 1987
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Chern classes of Laughlin bundles on the quasihole moduli space
Constructs Laughlin bundles over the m-quasihole symmetric power of a curve, derives their Chern characters via GRR, establishes projective flatness in the filled case, and verifies the classes reproduce the Aharonov-Bohm plus fractional-statistics decomposition of the Berry phase in genus 0 and 1.