Results 21 to 24 of about 230 (24)

A functorial approach to differential characters

, 2004
We describe Cheeger-Simons differential characters in terms of a variant of Turaev's homotopy quantum field theories based on chains in a smooth manifold X.Comment: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt ...
Brylinski, Cheeger, Freed, Freed, Mackaay, Paul Turner   +5 more
core   +4 more sources

Non Commutative Differential Geometry, and the Matrix Representations of Generalised Algebras

, 1997
The underlying algebra for a noncommutative geometry is taken to be a matrix algebra, and the set of derivatives the adjoint of a subset of traceless matrices. This is sufficient to calculate the dual 1-forms, and show that the space of 1-forms is a free
Connes, Connes, Dimakis, Dimakis, Dubois-Violette, Dubois-Violette, Dubois-Violette, Grosse, J. Gratus, Madore, Mourad   +10 more
core   +1 more source

On the Hodge decomposition in R^n [PDF]

, 2009
We prove a version of the $L^p$ hodge decomposition for differential forms in Euclidean space and a generalization to the class of Lizorkin currents.
Troyanov, Marc
core  

Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature. [PDF]

Arch Math
Honda S, Mondino A.
europepmc   +1 more source