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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

An approach to higher order linking invariants through holonomy and curvature


Authors: James J. Hebda and Chichen M. Tsau
Journal: Trans. Amer. Math. Soc. 364 (2012), 4283-4301
MSC (2010): Primary 57M25; Secondary 53C05, 57M27
DOI: https://doi.org/10.1090/S0002-9947-2012-05547-4
Published electronically: March 29, 2012
MathSciNet review: 2912455
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Abstract | References | Similar Articles | Additional Information

Abstract: We study the Milnor–Massey linking invariants through the holonomy and curvature of certain nilpotent connections and their flat quotient connections. Versions of the Porter–Turaev Theorem are proved in the context of de Rham cohomology.


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Additional Information

James J. Hebda
Affiliation: Department of Mathematics and Computer Science, Saint Louis University, St. Louis, Missouri 63103
MR Author ID: 83165
Email: hebdajj@slu.edu

Chichen M. Tsau
Affiliation: Department of Mathematics and Computer Science, Saint Louis University, St. Louis, Missouri 63103
Email: tsaumc@slu.edu

Keywords: Nilpotent connection, holonomy, curvature, Milnor numbers, Massey product, Porter–Turaev Theorem
Received by editor(s): September 25, 2009
Received by editor(s) in revised form: December 15, 2010
Published electronically: March 29, 2012
Article copyright: © Copyright 2012 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.