| Document Type
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BL
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| Record Number
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700470
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| Doc. No
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b522659
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| Main Entry
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Burgos Gil, José I., (José Ignacio),1962-
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| Title & Author
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The regulators of Beilinson and Borel /\ Jose I. Burgos Gil
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| Publication Statement
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Providence, R.I. :: American Mathematical Society,, c2002
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| Series Statement
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CRM monograph series,
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| Page. NO
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xi, 104 p. :: ill. ;; 26 cm
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| ISBN
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0821826301 (acid-free paper)
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: 9780821826300 (acid-free paper)
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| Bibliographies/Indexes
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Includes bibliographical references (p. 99-101) and index
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| Contents
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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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| Subject
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Regulators (Mathematics)
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| Dewey Classification
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512/.74
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| LC Classification
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QA247.B855 2002
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QA247.B855 2002
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