Solutions of the KZB equations in genus \geq 1

Details Solutions of the KZB equations in genus \geq 1 Solutions of the KZB equations in genus \geq 1

1999-12-24

arxiv.org/abs/math/9912198v2

Mathematics

Quantum Algebra

Scientific paper

We introduce a flat version of the KZB connection. This connection is defined
on the complement of the locus of Weierstrass points on the moduli space of
genus $g$ complex curves with marked points. We then give integral formulas for
flat sections of this connection, using the parametrization of conformal blocks
and of the KZB connection of our earlier paper math/9807145.

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