عنوان

The regulators of Beilinson and Borel /

0821826301 (acid-free paper)

9780821826300 (acid-free paper)

b522659

The regulators of Beilinson and Borel /

[Book]

Jose I. Burgos Gil

Providence, R.I. :

American Mathematical Society,

c2002

xi, 104 p. :

ill. ;

26 cm

CRM monograph series,

v. 15

Includes bibliographical references (p. 99-101) and index

Machine generated contents note: Chapter 1. Introduction -- Chapter 2. Simplicial and Cosimplicial Objects -- 2.1. Basic Definitions and Examples -- 2.2. Simplicial Abelian Groups -- 2.3. The Geometric Realization -- 2.4. Sheaves on Simplicial Topological Spaces -- 2.5. Principal Bundles on Simplicial Manifolds -- 2.6. The de Rham Algebra of a Simplicial Manifold -- Chapter 3. H-Spaces and Hopf Algebras -- 3.1. Definitions -- 3.2. Some Examples -- 3.3. The Structure of Hopf Algebras -- 3.4. Rational Homotopy of H-Spaces -- Chapter 4. The Cohomology of the General Linear Group -- 4.1. The General Linear Group and the Stiefel Manifolds -- 4.2. Classifying Spaces and Characteristic Classes -- 4.3. The Suspension -- 4.4. The Stability of Homology and Cohomology -- 4.5. The Stable Homotopy of the General Linear Group -- 4.6. Other Consequences of Bott's Periodicity Theorem -- Chapter 5. Lie Algebra Cohomology and the Weil Algebra -- 5.1. de Rham Cohomology of a Lie Group -- 5.2. Reductive Lie Algebras -- 5.3. Characteristic Classes in de Rham Cohomology -- 5.4. The Suspension in the Weil Algebra -- 5.5. Relative Lie Algebra Cohomology -- Chapter 6. Group Cohomology and the van Est Isomorphism -- 6.1. Group Homology and Cohomology -- 6.2. Continuous Group Cohomology -- 6.3. Computation of Continuous Cohomology -- Chapter 7. Small Cosimplicial Algebras -- 7.1. Cosimplicial Algebras -- 7.2. Small Algebras -- Chapter 8. Higher Diagonals and Differential Forms -- 8.1. The Sheaf of Differential Forms -- 8.2. The Weil Algebra Revisited -- 8.3. A Description of the van Est Isomorphism -- Chapter 9. Borel's Regulator -- 9.1. Algebraic K-Theory of Rings -- 9.2. Definition of Borel's Regulator -- 9.3. The Rank of the Groups Km(o) -- 9.4. The Values of the Zeta Functions -- 9.5. A Renormalization of Borel's Regulator -- 9.6. Borel Elements -- 9.7. Explicit Representatives of the Borel Element -- Chapter 10. Beilinson's Regulator -- 10.1. Deligne-Beilinson Cohomology -- 10.2. Deligne-Beilinson Cohomology of B.GLn(C) -- 10.3. The Definition of Beilinson's Regulator -- 10.4. The Comparison Between the Regulators

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Regulators (Mathematics)

Burgos Gil, José I., (José Ignacio),1962-

20080304105221.0

[Book]

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