Global ETD Search

1	Index defects in the theory of nonlocal boundary value problems and the η-invariant Savin, 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. elliptic operator boundary value problem finiteness theorem nonlocal problem covering relative η-invariant index modn-index Mathematics
2	Universal Algebra Complexes: Extensions and Integral Elements Chung, 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. unitary algebra homomorphism differential forms finiteness theorem integral differential forms E. Kähler