K-Theory, Arithmetic and Geometry

Seminar, Moscow University, 1984-1986
1987
ISBN: 978-3-540-18571-0
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1289, 404 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1270 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Manin, Yurij I.

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Homologische Algebra
• Mathematik | Informatik Mathematik Topologie Algebraische Topologie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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.