A topological Chern-Weil theory / [electronic resource] Anthony V. Phillips, David A. Stone.

By: Phillips, Anthony V. (Anthony Valiant), 1938-Contributor(s): Stone, David A. (David Aurel)Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 504Publication details: Providence, R.I. : American Mathematical Society, 1993Description: 1 online resource (vi, 79 p. : ill.)ISBN: 9781470400811 (online)Subject(s): Characteristic classes | Fiber bundles (Mathematics) | Topological groupsAdditional physical formats: topological Chern-Weil theory /DDC classification: 514/.72 LOC classification: QA3 | .A57 no. 504Online resources: Contents | Contents
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
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Link to resource Available EBK12957

"September 1993, volume 105, number 504 (fifth of 6 numbers)."

Includes bibliographical references (p. 77-79).

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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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