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paper

Witten spinors on nonspin manifolds

arXiv:1112.0194 · doi:10.1007/s00220-013-1804-0

Abstract

Motivated by Witten's spinor proof of the positive mass theorem, we analyze asymptotically constant harmonic spinors on complete asymptotically flat nonspin manifolds with nonnegative scalar curvature.

revised version; aceepted in Communications in Mathematical Physics