Secondary theories for simplicial manifolds and classifying spaces
M Felisatti, F Neumann - Geometry & Topology Monographs, 2007 - msp.org
M Felisatti, F Neumann
Geometry & Topology Monographs, 2007•msp.orgWe introduce and analyze secondary theories and characteristic classes for bundles with
connections on simplicial smooth manifolds. Classical Cheeger–Simons differential
characters for simplicial smooth manifolds with respect to Deligne's 'filtration bête'[4] of the
associated de Rham complex were first introduced by Dupont–Hain–Zucker [7] in order to
study the relation between the Cheeger–Chern–Simons invariants of vector bundles with
connections on smooth algebraic varieties and the corresponding characteristic classes in …
connections on simplicial smooth manifolds. Classical Cheeger–Simons differential
characters for simplicial smooth manifolds with respect to Deligne's 'filtration bête'[4] of the
associated de Rham complex were first introduced by Dupont–Hain–Zucker [7] in order to
study the relation between the Cheeger–Chern–Simons invariants of vector bundles with
connections on smooth algebraic varieties and the corresponding characteristic classes in …
We introduce and analyze secondary theories and characteristic classes for bundles with connections on simplicial smooth manifolds.
Classical Cheeger–Simons differential characters for simplicial smooth manifolds with respect to Deligne’s ‘filtration bête’[4] of the associated de Rham complex were first introduced by Dupont–Hain–Zucker [7] in order to study the relation between the Cheeger–Chern–Simons invariants of vector bundles with connections on smooth algebraic varieties and the corresponding characteristic classes in Deligne–Beilinson cohomology.
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