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Transgression of the index gerbe

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Publication:1865592
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DOI10.1007/s00229-002-0314-8zbMath1021.58027arXivmath/0109052OpenAlexW2041445745MaRDI QIDQ1865592

Ulrich Bunke

Publication date: 27 March 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109052

zbMATH Keywords

Dirac operatorsholonomyloop spaceadiabatic limit of determinant bundlesindex gerbe


Mathematics Subject Classification ID

Issues of holonomy in differential geometry (53C29) Eta-invariants, Chern-Simons invariants (58J28) Determinants and determinant bundles, analytic torsion (58J52)


Related Items

On the relationship of gerbes to the odd families index theorem, The basic bundle gerbe on unitary groups, The Atiyah–Singer index theorem, Transgression to loop spaces and its inverse. III: Gerbes and thin fusion bundles, Reflection positivity and invertible topological phases



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