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Witten Spinors on Nonspin Manifolds

Communications in Mathematical Physics volume 324, pages 301–350 (2013)Cite this article

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.

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Authors and Affiliations

  1. Mathematics Institute, University of Freiburg, Eckerstrasse 1, 79104, Freiburg, Germany

    Anda Degeratu

  2. Department of Mathematics, Duke University, Durham, NC, 27708, USA

    Mark Stern

Authors
  1. Anda Degeratu
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  2. Mark Stern
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Correspondence to Anda Degeratu.

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Communicated by P. T. Chruściel

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Degeratu, A., Stern, M. Witten Spinors on Nonspin Manifolds. Commun. Math. Phys. 324, 301–350 (2013). https://doi.org/10.1007/s00220-013-1804-0

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  • DOI: https://doi.org/10.1007/s00220-013-1804-0

Keywords

  • Manifold
  • Dirac Operator
  • Spin Structure
  • Tubular Neighborhood
  • Hardy Inequality