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arXiv · alg-geom/9502028

Non--trivial harmonic spinors on generic algebraic surfaces

D. Kotschick
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Abstract

We disprove Hitchin's conjecture to the effect that for a generic complex structure on a simply connected spin complex surface the square root of the canonical bundle has no more cohomology then is predicted by the Riemann--Roch theorem. (This paper will appear in Proc. Amer. Math. Soc.)

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BibTeXRIS

D. Kotschick. 1995-03-01. Non--trivial harmonic spinors on generic algebraic surfaces. https://doi.org/10.1090/s0002-9939-96-03772-0

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