1 April 2011 Noncommutative Chern-Weil theory and the combinatorics of wheeling
Andrew Kricker
Author Affiliations +
Duke Math. J. 157(2): 223-281 (1 April 2011). DOI: 10.1215/00127094-2011-005

Abstract

This work applies the ideas of Alekseev and Meinrenken's noncommutative Chern-Weil theory to describe a completely combinatorial and constructive proof of the wheeling theorem. In this theory, the crux of the proof is, essentially, the familiar demonstration that a characteristic class does not depend on the choice of connection made to construct it. To a large extent, this work may be viewed as an exposition of the details of some of Alekseev and Meinrenken's theory written for Kontsevich integral specialists. Our goal was a presentation with full combinatorial detail in the setting of Jacobi diagrams. To achieve this goal, certain key algebraic steps required replacement with substantially different combinatorial arguments.

Citation

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Andrew Kricker. "Noncommutative Chern-Weil theory and the combinatorics of wheeling." Duke Math. J. 157 (2) 223 - 281, 1 April 2011. https://doi.org/10.1215/00127094-2011-005

Information

Published: 1 April 2011
First available in Project Euclid: 25 March 2011

zbMATH: 1277.57013
MathSciNet: MR2783931
Digital Object Identifier: 10.1215/00127094-2011-005

Subjects:
Primary: 17B99
Secondary: 05A19

Rights: Copyright © 2011 Duke University Press

Vol.157 • No. 2 • 1 April 2011
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