Abstract
A combinatorial Chern-Weil theorem for arbitrary oriented 2-plane bundles with even Euler class over surfaces is proved. Along the way a simple method is developed to use exterior angles to calculate the curvature at the vertices of a large class of non-convex, non-immersed surfaces inR 3.
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Partially supported by NSF Contract DMS-8503388.
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Bloch, E.D. A combinatorial Chern-Weil theorem for 2-plane bundles with even euler characteristic. Israel J. Math. 67, 193–216 (1989). https://doi.org/10.1007/BF02937295
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DOI: https://doi.org/10.1007/BF02937295