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A topological Chern-Weil theory
About this Title
Anthony V. Phillips and David A. Stone
Publication: Memoirs of the American Mathematical Society
Publication Year:
1993; Volume 105, Number 504
ISBNs: 978-0-8218-2566-2 (print); 978-1-4704-0081-1 (online)
DOI: https://doi.org/10.1090/memo/0504
MathSciNet review: 1169229
MSC: Primary 55R35; Secondary 55R10, 57R20, 57R22, 57T30
Table of Contents
Chapters
- Introduction
- 1. Combinatorial preliminaries
- 2. The universal side of the problem: the topological Lie algebra, tensor algebra and invariant polynomials
- 3. Parallel transport functions and principal bundles
- 4. The complex $\mathcal {C}_*$, the twisting cochain of a parallel transport function, and the algebraic classifying map $S_*:\mathcal {C}_* \to \mathcal {E}_*$
- 5. Cochains on $\mathcal {C}_*$ with values in $T\mathbf {g}_*$
- 6. The main theorem