Displaying similar documents to “On adelic Chern forms and the Bott residue formula”

Local ε 0 -characters in torsion rings

Seidai Yasuda (2007)

Journal de Théorie des Nombres de Bordeaux

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Let p be a rational prime and K a complete discrete valuation field with residue field k of positive characteristic p . When k is finite, generalizing the theory of Deligne [], we construct in [] and [] a theory of local ε 0 -constants for representations, over a complete local ring with an algebraically closed residue field of characteristic ≠ p , of the Weil group W K of K . In this paper, we generalize the results in [] and [] to the case where k is an arbitrary perfect field.

An extension of Miller's version of the de Rham Theorem with any coefficients

Antonio Garvín, Luis Lechuga, Aniceto Murillo, Vicente Muñoz, Antonio Viruel (1998)

Banach Center Publications

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In this paper we present an approximation to the de Rham theorem for simplicial sets with any coefficients based, using simplicial techniques, on Poincaré's lemma and q-extendability.

Formality theorems: from associators to a global formulation

Gilles Halbout (2006)

Annales mathématiques Blaise Pascal

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Let M be a differential manifold. Let Φ be a Drinfeld associator. In this paper we explain how to construct a global formality morphism starting from Φ . More precisely, following Tamarkin’s proof, we construct a Lie homomorphism “up to homotopy" between the Lie algebra of Hochschild cochains on C ∞ ( M ) and its cohomology ( Γ ( M , Λ T M ) , [ - , - ] S ). This paper is an extended version of a course given 8 - 12 March 2004 on Tamarkin’s works. The reader will find explicit examples, recollections on G ∞ -structures, explanation...