Remarks on Determinant Line Bundles, Chern-Simons Forms and Invariants

Authors

  • Johan L. Dupont
  • Flemming Lindblad Johansen

DOI:

https://doi.org/10.7146/math.scand.a-14376

Abstract

We study generalized determinant line bundles for families of principal bundles and connections. We explore the connections of this line bundle and give conditions for the uniqueness of such. Furthermore we construct for families of bundles and connections over manifolds with boundary, a generalized Chern-Simons invariant as a section of a determinant line bundle.

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Published

2002-09-01

How to Cite

Dupont, J. L., & Johansen, F. L. (2002). Remarks on Determinant Line Bundles, Chern-Simons Forms and Invariants. MATHEMATICA SCANDINAVICA, 91(1), 5–26. https://doi.org/10.7146/math.scand.a-14376

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Section

Articles