K-Theory, Arithmetic and Geometry

This volume of research papers is an outgrowth of the Manin Seminar at Moscow University, devoted to K-theory, homological algebra and algebraic geometry. The main topics discussed include additive K-theory, cyclic cohomology, mixed Hodge structures, theory of Virasoro and Neveu-Schwarz algebras.

Inhalt
Height pairing between algebraic cycles.- On the derived category of perverse sheaves.- How to glue perverse sheaves.- Sheaves of the Virasoro and Neveu-Schwarz algebras.- Additive K-theory.- Cyclic homology of algebras with quadratic relations, universal enveloping algebras and group algebras.- On homotopy limit of homotopy algebras.- On the delooping of Chern character and Adams operations.- Noncommutative residue Chapter I. Fundamentals.

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