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ThiKu
ThiKu
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The Beilinson regulator is $\frac{1}{2}$ times the Borel regulator.

The Beilinson regulator is a map from algebraic K-theory to Deligne cohomology and the above equality generalizes Borel's theorem on the algebraic K-theory of number rings, which in turn generalizes the class number formula from algebraic number theory. A complete proof is contained in this book. To get an impression of the range of involved fields one may just look at its Table of ContestsContent, from which I copy the names of chapters:

  • Simplicial and Cosimplicial Objects
  • H-spaces and Hopf Algebras
  • The Cohomology of the General Linear Group
  • Lie Algebra Cohomology and the Weil Algebra
  • Group Cohomology and the van Est Isomorphism
  • Small Cosimplicial Algebras
  • Higher Diagonals and Differential Forms
  • Borel's regulator
  • Beilinson's Regulator

The Beilinson regulator is $\frac{1}{2}$ times the Borel regulator.

The Beilinson regulator is a map from algebraic K-theory to Deligne cohomology and the above equality generalizes Borel's theorem on the algebraic K-theory of number rings, which in turn generalizes the class number formula from algebraic number theory. A complete proof is contained in this book. To get an impression of the range of involved fields one may just look at its Table of Contests, from which I copy the names of chapters:

  • Simplicial and Cosimplicial Objects
  • H-spaces and Hopf Algebras
  • The Cohomology of the General Linear Group
  • Lie Algebra Cohomology and the Weil Algebra
  • Group Cohomology and the van Est Isomorphism
  • Small Cosimplicial Algebras
  • Higher Diagonals and Differential Forms
  • Borel's regulator
  • Beilinson's Regulator

The Beilinson regulator is $\frac{1}{2}$ times the Borel regulator.

The Beilinson regulator is a map from algebraic K-theory to Deligne cohomology and the above equality generalizes Borel's theorem on the algebraic K-theory of number rings, which in turn generalizes the class number formula from algebraic number theory. A complete proof is contained in this book. To get an impression of the range of involved fields one may just look at its Table of Content, from which I copy the names of chapters:

  • Simplicial and Cosimplicial Objects
  • H-spaces and Hopf Algebras
  • The Cohomology of the General Linear Group
  • Lie Algebra Cohomology and the Weil Algebra
  • Group Cohomology and the van Est Isomorphism
  • Small Cosimplicial Algebras
  • Higher Diagonals and Differential Forms
  • Borel's regulator
  • Beilinson's Regulator
Source Link
ThiKu
ThiKu
  • 10.5k
  • 2
  • 38
  • 64

The Beilinson regulator is $\frac{1}{2}$ times the Borel regulator.

The Beilinson regulator is a map from algebraic K-theory to Deligne cohomology and the above equality generalizes Borel's theorem on the algebraic K-theory of number rings, which in turn generalizes the class number formula from algebraic number theory. A complete proof is contained in this book. To get an impression of the range of involved fields one may just look at its Table of Contests, from which I copy the names of chapters:

  • Simplicial and Cosimplicial Objects
  • H-spaces and Hopf Algebras
  • The Cohomology of the General Linear Group
  • Lie Algebra Cohomology and the Weil Algebra
  • Group Cohomology and the van Est Isomorphism
  • Small Cosimplicial Algebras
  • Higher Diagonals and Differential Forms
  • Borel's regulator
  • Beilinson's Regulator
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