Chern-Simons classes of flat connections on supermanifolds

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dc.creatorIyer, JN
dc.creatorIyer, Un
dc.date2007-07-16
dc.date.accessioned2026-07-07T08:18:33Z
dc.date.available2026-07-07T08:18:33Z
dc.descriptionIn this note we define Chern-Simons classes of a superconnection $D+L$ on a complex supervector bundle $E$ such that $D$ is flat and preserves the grading, and $L$ is an odd endomorphism of $E$ on a supermanifold. As an application we obtain a definition of Chern-Simons classes of a (not necessarily flat) morphism between flat vector bundles on a smooth manifold. We extend Reznikov's theorem on triviality of these classes when the manifold is a compact Kähler manifold or a smooth complex quasi--projective variety, in degrees > 1.
dc.identifierhttps://arxiv.org/abs/0707.2321
dc.identifierhttp://arxiv.org/abs/0707.2321
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134472
dc.subjectAlgebraic Geometry
dc.subjectMathematical Physics
dc.subject53C05, 53C07, 53C29
dc.titleChern-Simons classes of flat connections on supermanifolds
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