JP Journal of Geometry and Topology
Volume 14, Issue 2, Pages 119 - 147
(November 2013)
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ON SPIN STRUCTURES OF DOUBLE BRANCHED COVERING SPACES
Seiji Nagami
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Abstract:
In this paper, we study about orientations of fixed point sets of  structure preserving involutions, and give a necessary and sufficient condition for a double branched covering space to be spin. Moreover, we give a necessary and sufficient condition for a double covering space to admit a spin structure which is preserved by the covering transformation map of odd type. |
| Keywords and phrases: double branched covering space, spin structure, involution. |
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