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Higher Complex Torsion and the Framing Principle Book PDF Summary

We prove that higher Franz-Reidemeister (FR) torsion satisfies the transfer property and a formula known as the 'Framing Principle' in full generality. We use these properties to compute the higher FR-torsion for all smooth bundles with oriented closed even dimensional manifold fibers. We also show that the higher complex torsion invariants of bundles with closed almost complex fibers are multiples of generalized Miller-Morita-Mumford classes.

Detail Book of Higher Complex Torsion and the Framing Principle PDF

Higher Complex Torsion and the Framing Principle
  • Author : Kiyoshi Igusa
  • Release : 01 October 2024
  • Publisher : American Mathematical Soc.
  • ISBN : 1470404362
  • Genre : Mathematics
  • Total Page : 94 pages
  • Language : English
  • PDF File Size : 17,5 Mb

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The Second Duals of Beurling Algebras

The Second Duals of Beurling Algebras Author : Harold G. Dales,Anthony To-Ming Lau
Publisher : American Mathematical Soc.
File Size : 13,7 Mb
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Let $A$ be a Banach algebra, with second dual space $A""$. We propose to study the space $A""$ as a ...