Journal of the Ramanujan Mathematical Society

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Obstruction Theory in Algebra and Topology


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1 Department of Mathematics, University of Kansas, 1460 Jayhawk Blvd., Lawrence KS 66045, United States
     

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Suppose X = Spec(A) is a real smooth affine variety of dimension n ≥ 2 and M is the manifold of real points of X. Assume X is orientable and M is nonempty. In this paper, we prove that there is a natural homomorphism ζ : E(A,A) → Hn(M,Z) from the Euler class group to the singular cohomology group.
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  • Obstruction Theory in Algebra and Topology

Abstract Views: 228  |  PDF Views: 0

Authors

Satya Mandal
Department of Mathematics, University of Kansas, 1460 Jayhawk Blvd., Lawrence KS 66045, United States
Albert J. L. Sheu
Department of Mathematics, University of Kansas, 1460 Jayhawk Blvd., Lawrence KS 66045, United States

Abstract


Suppose X = Spec(A) is a real smooth affine variety of dimension n ≥ 2 and M is the manifold of real points of X. Assume X is orientable and M is nonempty. In this paper, we prove that there is a natural homomorphism ζ : E(A,A) → Hn(M,Z) from the Euler class group to the singular cohomology group.