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Non-trivial harmonic spinors on generic algebraic surfaces. (English) Zbl 0878.58057
The author shows that the space of harmonic spinors on a simply connected algebraic surface is larger than what is predicted by the index theorem. Moreover, its dimension is larger than the absolute value of the index by an arbitrary large number.

MSC:
58J60 Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)
58A50 Supermanifolds and graded manifolds
58J20 Index theory and related fixed-point theorems on manifolds
14J99 Surfaces and higher-dimensional varieties
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References:
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