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math.AG2007
Chern-Simons classes of flat connections on supermanifolds
JN Iyer, Un Iyer
In this note we define Chern-Simons classes of a superconnection on a complex supervector bundle such that is flat and preserves the grading, and is an odd endomo…
math.AG2007★ 5 cited
Regulators of canonical extensions are torsion: the smooth divisor case
Jaya N. Iyer, Carlos T. Simpson
In this paper, we prove a generalization of Reznikov's theorem which says that the Chern-Simons classes and in particular the Deligne Chern classes (in degrees ) are torsion, o…
math.AG2006
The Chern character of a parabolic bundle, and a parabolic Reznikov theorem in the case of finite order at infinity
Jaya N. Iyer, Carlos T. Simpson
In this paper, we obtain an explicit formula for the Chern character of a locally abelian parabolic bundle in terms of its constituent bundles. Several features and variants of par…