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Differential characters / Christian Bar and Christian Becker.

By: Contributor(s): Material type: TextTextSeries: Lecture notes in mathematics ; 2112.Publication details: Switzerland : Springer, 2014.Description: viii, 187 p. ; illISBN:
  • 9783319070339
Subject(s): DDC classification:
  • 514.23 23 B223
Contents:
Differential characters and geometric chains: 1. Introduction-- 2. Smooth spaces-- 3. Refined smooth singular homology-- 4. Geometric chains-- 5. Differential characters-- 6. The ring structure-- 7. Fiber integration-- 8. Relative differential characters-- 9. Applications-- References-- Relative differential cohomology: 1. Introduction-- 2. Stratifold homology-- 3. Differential Characters-- 4. Internal and external products-- 5. Fiber integration and transgression-- References-- Index.
Summary: This book describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the product structure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 514.23 B223 (Browse shelf(Opens below)) Available 135837
Total holds: 0

Includes bibliographical references and index.

Differential characters and geometric chains:
1. Introduction--
2. Smooth spaces--
3. Refined smooth singular homology--
4. Geometric chains--
5. Differential characters--
6. The ring structure--
7. Fiber integration--
8. Relative differential characters--
9. Applications--
References--

Relative differential cohomology:
1. Introduction--
2. Stratifold homology--
3. Differential Characters--
4. Internal and external products--
5. Fiber integration and transgression--
References--
Index.

This book describes important concepts such as fiber integration, higher dimensional holonomy, transgression, and the product structure in a geometric manner. Differential characters form a model of what is nowadays called differential cohomology, which is the mathematical structure behind the higher gauge theories in physics.

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