The index of projective families of elliptic operators.
Mathai, Varghese, Melrose, Richard B., Singer, Isadore M. (2005)
Geometry & Topology
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Displaying similar documents to “Star products and local line bundles”
The index of projective families of elliptic operators.
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.
Connections on distributional bundles
Daniel Canarutto (2004)
Rendiconti del Seminario Matematico della Università di Padova
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Asymptotics for Bergman-Hodge kernels for high powers of complex line bundles
Robert Berman, Johannes Sjöstrand (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
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In this paper we obtain the full asymptotic expansion of the Bergman-Hodge kernel associated to a high power of a holomorphic line bundle with non-degenerate curvature. We also explore some relations with asymptotic holomorphic sections on symplectic manifolds.
The geometry of Calogero-Moser systems
Jacques Hurtubise, Thomas Nevins (2005)
Annales de l’institut Fourier
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We give a geometric construction of the phase space of the elliptic Calogero-Moser system for arbitrary root systems, as a space of Weyl invariant pairs (bundles, Higgs fields) on the -th power of the elliptic curve, where is the rank of the root system. The Poisson structure and the Hamiltonians of the integrable system are given natural constructions. We also exhibit a curious duality between the spectral varieties for the system associated to a root system, and the Lagrangian varieties...