paper

Non--trivial harmonic spinors on generic algebraic surfaces

arXiv:alg-geom/9502028 · doi:10.1090/S0002-9939-96-03772-0

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.)

arXiv comment4 pages, AMSLaTeX

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