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An Alternative Approach to Lie Groups and Geometric Structures$
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Ercüment H. Ortaçgil

Print publication date: 2018

Print ISBN-13: 9780198821656

Published to Oxford Scholarship Online: September 2018

DOI: 10.1093/oso/9780198821656.001.0001

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The Secondary Characteristic Classes

The Secondary Characteristic Classes

Chapter:
(p.93) 12 The Secondary Characteristic Classes
Source:
An Alternative Approach to Lie Groups and Geometric Structures
Author(s):

Ercüment H. Ortaçgil

Publisher:
Oxford University Press
DOI:10.1093/oso/9780198821656.003.0013

Changing the representation bundle from T to TT∗ gives a sequence where both torsion and curvature live. Vanishing of the curvature gives rise to some closed forms.

Keywords:   Chern–Simons form, Chern–Simons class, primitive elements, Hopf algebra, Godbillon–Vey class

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