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Higher Complex Torsion and the Framing Principle
Language: en
Pages: 114
Authors: Kiyoshi Igusa
Categories: Mathematics
Type: BOOK - Published: 2005 - Publisher: American Mathematical Soc.

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Intends to prove that higher Franz-Reidemeister (FR) torsion satisfies the transfer property and a formula known as the 'Framing Principle' in full generality.
Homological and Homotopical Aspects of Torsion Theories
Language: en
Pages: 224
Authors: Apostolos Beligiannis
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

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In this paper the authors investigate homological and homotopical aspects of a concept of torsion which is general enough to cover torsion and cotorsion pairs i
Higher Franz-Reidemeister Torsion
Language: en
Pages: 394
Authors: Kiyoshi Igusa
Categories: Mathematics
Type: BOOK - Published: 2002 - Publisher: American Mathematical Soc.

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This work is devoted to the theory of topological higher Franz-Reidemeister torsion in $K$-theory. The author defines the higher Franz-Reidemeister torsion base
Non-Doubling Ahlfors Measures, Perimeter Measures, and the Characterization of the Trace Spaces of Sobolev Functions in Carnot-Caratheodory Spaces
Language: en
Pages: 138
Authors: Donatella Danielli
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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The object of the present study is to characterize the traces of the Sobolev functions in a sub-Riemannian, or Carnot-Caratheodory space. Such traces are define
The Beilinson Complex and Canonical Rings of Irregular Surfaces
Language: en
Pages: 114
Authors: Alberto Canonaco
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher: American Mathematical Soc.

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An important theorem by Beilinson describes the bounded derived category of coherent sheaves on $\mathbb{P n$, yielding in particular a resolution of every cohe