Non–trivial harmonic spinors on generic algebraic surfaces
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- Proc. Amer. Math. Soc. 124 (1996), 2315-2318 Request permission
Abstract:
We show that there are simply connected spin algebraic surfaces for which all complex structures in certain components of the moduli space admit more harmonic spinors than predicted by the index theorem (or Riemann–Roch). The dimension of the space of harmonic spinors can exceed the absolute value of the index by an arbitrarily large number.References
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Additional Information
- D. Kotschick
- Affiliation: Mathematisches Institut, Universität Basel, Rheinsprung 21 4051 Basel, Switzerland
- MR Author ID: 267229
- Email: dieter@math.unibas.ch
- Received by editor(s): December 11, 1994
- Additional Notes: This note was written while the author was an EPSRC Visiting Fellow at the Isaac Newton Institute for Mathematical Sciences in Cambridge.
- Communicated by: Ronald J. Stern
- © Copyright 1996 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 124 (1996), 2315-2318
- MSC (1991): Primary 14J99, 53C55, 58D17
- DOI: https://doi.org/10.1090/S0002-9939-96-03772-0
- MathSciNet review: 1372036