A topological Chern-Weil theory / Anthony V. Phillips, David A. Stone.
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| Online Access: |
Full Text (via ProQuest) |
|---|---|
| Main Author: | |
| Other Authors: | |
| Other title: | Chern-Weil theory. |
| Format: | eBook |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
1993.
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| Series: | Memoirs of the American Mathematical Society ;
no. 504. |
| Subjects: |
Table of Contents:
- 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.