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Journals and Conferences
It is well known that diffeomorphism groups play an important role in certain areas of mathematical physics, such as quantitative fluid dynamics and plasma physics, gauge theories and general Hamiltonian theory. Let (M, g) be a compact oriented Riemannian manifold and μ the corresponding volume element. Denote by D = Diff(M) the diffeomorphism group of M ,… (More)
European honey bees are highly important in crop pollination, increasing the value of global agricultural production by billions of dollars. Current knowledge about virulence and pathogenicity of Deformed wing virus (DWV), a major factor in honey bee colony mortality, is limited. With this study, we close the gap between field research and laboratory… (More)
We endow the group of invertible Fourier integral operators on an open manifold with the structure of an ILH Lie group. This is done by establishing such structures for the groups of invertible pseudodifferential operators and contact transformations on an open manifold of bounded geometry, and gluing those together via a local section.
On an open manifold, the spaces of metrics or connections of bounded geometry, respectively, split into an uncountable number of components. We show that for a pair of metrics or connections, belonging to the same component, relative ζ-functions, determinants, torsion for pairs of generalized Dirac operators are well defined.
The set of Clifford bundles of bounded geometry over open manifolds can be endowed with a metrizable uniform structure. For one fixed bundle E we define the generalized component gen comp(E) as the set of Clifford bundles E′ which have finite distance to E. If D, D′ are the associated generalized Dirac operators, we prove for the pair (D,D′) relative index… (More)
For closed manifolds there exists an effective highly elaborated classification approach the main steps of which are the Thom–Pontrjagin construction, bordism theory, surgery, Wall groups, the exact sequence of Browder–Novikov–Sullivan–Wall. All this can be expressed in an algebraic language of f. g. Zπ–, unitary Zπ–, Qπ–modules and their K–theory etc.… (More)