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Symmetry, Integrability and Geometry: Methods and Applications, 2016, Volume 12, 089, 45 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.089 (Mi sigma1171) 		 
This article is cited in 7 scientific papers (total in 7 papers)

The Index of Dirac Operators on Incomplete Edge Spaces

Pierre Albina, Jesse Gell-Redmanb

a University of Illinois, Urbana-Champaign, USA
b Department of Mathematics, University of Melbourne, Melbourne, Australia
Full-text PDF (724 kB) Citations (7)
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DOI: https://doi.org/10.3842/SIGMA.2016.089
Abstract: We derive a formula for the index of a Dirac operator on a compact, even-dimensional incomplete edge space satisfying a “geometric Witt condition”. We accomplish this by cutting off to a smooth manifold with boundary, applying the Atiyah–Patodi–Singer index theorem, and taking a limit. We deduce corollaries related to the existence of positive scalar curvature metrics on incomplete edge spaces.
Keywords: Atiyah–Singer index theorem; Dirac operators; singular spaces; positive scalar curvature.
Funding agency Grant number
National Science Foundation DMS-1104533
Simons Foundation 317883
P.A. was supported by NSF grant DMS-1104533 and Simons Foundation grant #317883.
Received: November 2, 2015; in final form August 30, 2016; Published online September 8, 2016
Bibliographic databases:
Document Type: Article
MSC: 58G10; 58A35; 58G05
Language: English
Citation: Pierre Albin, Jesse Gell-Redman, “The Index of Dirac Operators on Incomplete Edge Spaces”, SIGMA, 12 (2016), 089, 45 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
     
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