The Regulators of Beilinson and Borel is popular PDF and ePub book, written by José Ignacio Burgos Gil in 2002, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Regulators of Beilinson and Borel can be Read Online from any device for your convenience.
The Regulators of Beilinson and Borel Book PDF Summary
This book contains a complete proof of the fact that Borel's regulator map is twice Beilinson's regulator map. The strategy of the proof follows the argument sketched in Beilinson's original paper and relies on very similar descriptions of the Chern-Weil morphisms and the van Est isomorphism. The book has two different parts. The first one reviews the material from algebraic topology and Lie group theory needed for the comparison theorem. Topics such as simplicial objects, Hopfalgebras, characteristic classes, the Weil algebra, Bott's Periodicity theorem, Lie algebra cohomology, continuous group cohomology and the van Est Theorem are discussed. The second part contains the comparison theorem and the specific material needed in its proof, such as explicit descriptions of theChern-Weil morphism and the van Est isomorphisms, a discussion about small cosimplicial algebras, and a comparison of different definitions of Borel's regulator.
Detail Book of The Regulators of Beilinson and Borel PDF
- Author : José Ignacio Burgos Gil
- Release : 28 September 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821826300
- Genre : Mathematics
- Total Page : 118 pages
- Language : English
- PDF File Size : 15,8 Mb
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