Title: The Mathematics of Fivebranes

Fivebranes are non-perturbative objects in string theory that generalize two-dimensional conformal field theory and relate such diverse subjects as moduli spaces of vector bundles on surfaces, automorphic forms, elliptic genera, the geometry of Calabi-Yau threefolds, and generalized Kac-Moody algebras.

1991 Mathematics Subject Classification: 81T30

Keywords and Phrases: quantum field theory, elliptic genera, automorphic forms

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