5 citations · 8 across the 6 of their papers we have counts for
8 papers
The Geometry of Loop Spaces II: Corrections
Yoshiaki Maeda, Steven Rosenberg, Fabián Torres-Ardila
This paper contains corrections to Madea, Rosenberg, Torres-Ardila, "The Geometry of Loop Spaces II: Characteristic Classes," Advances in Math. (287), 2016, 485-518. The main chang…
The Geometry of Loop Spaces II: Characteristic Classes
Yoshiaki Maeda, Steven Rosenberg, Fabián Torres-Ardila
Using the Wodzicki residue, we build Wodzicki-Chern-Simons (WCS) classes in associated to the residue Chern character on the loop space of a Riemannian manifold…
The Geometry of Loop Spaces I: -Riemannian Metrics
Yoshiaki Maeda, Steven Rosenberg, Fabián Torres-Ardila
A Riemannian metric on a manifold M induces a family of Riemannian metrics on the loop space LM depending on a Sobolev space parameter s. We compute the connection forms of these m…
Equivariant, string and leading order characteristic classes associated to fibrations
Andres Larrain-Hubach, Yoshiaki Maeda, Steven Rosenberg +1
We construct equivariant, string and leading order characteristic classes and Chern-Simons classes for certain infinite rank bundles associated to fibrations occurring in loop spac…
Characteristic Classes and Zeroth Order Pseudodifferential Operators
Andrés Larrain-Hubach, Steven Rosenberg, Simon Scott +1
We provide evidence for the conjecture that the Wodzicki-Chern classes vanish for all bundles with the group Z of invertible zeroth order pseudodifferential operators as structure…
Secondary Characteristic Classes on Loop Spaces
Yoshiaki Maeda, Steven Rosenberg, Fabián Torres-Ardila
A Riemannian metric on a manifold M induces a family of Riemannian metrics on the loop space LM depending on a Sobolev space parameter s. The connection and curvature forms of thes…