دانلود کتاب K-Theory of Forms. (AM-98), Volume 98

فهرست مطالب :

Dedication\nTABLE OF CONTENTS\n§1. INTRODUCTION\n A. General remarks\n B. Quadratic modules\n C. Hermitian modules\n D. The necessity for refined definitions\n§2. HYPERBOLIC AND METABOLIC MODULES\n§3. AUTOMORPHISM GROUPS OF NONSINGULAR MODULES\n§4. K-THEORY GROUPS OF NONSINGULAR MODULES\n A. The K1-functors\n B. The K2-functors\n C. Relativization\n§5. HOMOLOGY EXACT SEQUENCES\n A. Homology groups and central extensions\n B. The relative sequence of a homomorphism\n C. The Mayer-Vietoris sequence of a fibre square\n D. Excision\n§6. K-THEORY IN CATEGORIES WITH PRODUCT\n A. Fibre product categories\n B. The relative sequence of a product preserving functor\n C. The Mayer-Vietoris sequence of a fibre square\n D. Excision\n§7. K-THEORY OF NONSINGULAR AND PROJECTIVE MODULES\n A. Approximation squares\n B. Arithmetic and localization, completion squares\n C. Conductor and related squares\n D. Fibre product categories\n E. Restricted direct products\n F. Orders\n§8. COMPARISON EXACT SEQUENCES\n A. Change of K1-torsion\n B. Change of K2-torsion\n C. Kernels and cokernels of hyperbolic and metabolic maps\n§9. SCALING AND MORITA THEORY\n§10. REDUCTION MODULO A COMPLETE IDEAL\n§11. CHANGE OF FORM PARAMETER\n A. The group S(Γ/Λ)\n B. The group T(Γ/Λ)\n§12. INDUCTION THEORY\n A. Frobenius modules\n B. Induction machine\n§13. ALTERNATE DEFINITIONS OF QUADRATIC MODULES\n§14. REMARKS ON NOTATION\n§15. WALL\'S SURGERY GROUPS\nBIBLIOGRAPHY\nSUBJECT INDEX\nNOTATION INDEX