Differential characters / Christian Bar and Christian Becker.

By:

Bar, Christian

Contributor(s):

Becker, Christian

Material type: Text

TextSeries: 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

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Previous	No cover image available		No cover image available			No cover image available	No cover image available	Next
Previous	514.23 Ap639 Equivariant homology decompositions for projective spaces and associated results/	514.23 B212 Intersection spaces, spatial homology truncation, and string theory	514.23 B219 Lectures on Morse homology	514.23 B223 Differential characters /	514.23 B344 Combinatorial foundation of homology and homotopy	514.23 B539 Notes on crystalline cohomology	514.23 B731 I Intersection cohomology	Next

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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