Abstract
Let M 2n be a compact, oriented, differentiable manifold and U ⊂ M an oriented, differentiable submanifold of codimension two. Let u ∈ H 2(M; ℤ) be the Poincarédual cohomology class of the fundamental cycle of U. Further, let TU and TM be the tangent bundles of U, resp. M,and let NU be the normal bundle of U in M. By choosing a Riemannian metric we get an isomorphism TU ⊕ NU ≉ TM| U and NU gets the structure of an O(2)-bundle. Since M and U are oriented, the structure group of NU can be further reduced to SO(2) ≅ U(1).KeywordsPower SeriesModular FormCohomology ClassNormal BundleElliptic GenusThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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