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doi:10.1016/0370-2693(89)91520-7 
Copyright © 1989 Published by Elsevier Science B.V. All rights reserved.
Spin structures for Riemann surfaces with boundaries and cross-caps
Received 13 October 1988.
Available online 18 October 2002.
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Abstract
Spin structures for surfaces with boundaries and for non-orientable surfaces are considered. They are related to a corresponding spin structure on the double of the surface by means of an involution. The determinant of the corresponding Dirac operator is explicitly computed.
