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Index defects in the theory of nonlocal boundary value problems and the η-invariantSavin, Anton Yu., Sternin, Boris Yu. January 2001 (has links)
The paper deals with elliptic theory on manifolds with boundary represented as a covering space. We compute the index for a class of nonlocal boundary value problems. For a nontrivial covering, the index defect of the Atiyah-Patodi-Singer boundary value problem is computed. We obtain the Poincaré duality in the K-theory of the corresponding manifolds with singularities.
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Universal Algebra Complexes: Extensions and Integral ElementsChung, In Young 05 1900 (has links)
No abstract provided. / Thesis / Doctor of Philosophy (PhD) / Scope and contents: Two topics are studied in this thesis. The first topic is concerned with the relation between the categories of complexes over two algebras when there is a unitary algebra homomorphism from one to the other. The second topic deals with differential forms. A certain finiteness theorem for the module of integral differential forms is studied.
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