The signature theorem for manifolds with metric horns
Jochen Brüning (1996)
Journées équations aux dérivées partielles
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Displaying similar documents to “The resolvent expansion for the signature operator on a manifold with a conic singular stratum”
The signature theorem for manifolds with metric horns
Star products and local line bundles
Richard Melrose (2004)
Annales de l’institut Fourier
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The notion of a local line bundle on a manifold, classified by 2-cohomology with real coefficients, is introduced. The twisting of pseudodifferential operators by such a line bundle leads to an algebroid with elliptic elements with real-valued index, given by a twisted variant of the Atiyah-Singer index formula. Using ideas of Boutet de Monvel and Guillemin the corresponding twisted Toeplitz algebroid on any compact symplectic manifold is shown to yield the star...
Cohomology and connection on -bundles
Gross, Christian
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Liftings of 1-forms to some non product preserving bundles
Doupovec, Miroslav, Kurek, Jan
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Summary: The article is devoted to the question how to geometrically construct a 1-form on some non product preserving bundles by means of a 1-form on an original manifold . First, we will deal with liftings of 1-forms to higher-order cotangent bundles. Then, we will be concerned with liftings of 1-forms to the bundles which arise as a composition of the cotangent bundle with the tangent or cotangent bundle.