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Title: Spectral Sequences for Hochschild cohomology and graded centers of derived categories
Authors: Neumann, Frank
Szymik, Markus
First Published: 20-May-2017
Publisher: Springer Verlag for Birkhäuser Basel
Citation: Selecta Mathematica (New Series), 2017, doi:10.1007/s00029-017-0331-9
Abstract: The Hochschild cohomology of a differential graded algebra, or a differential graded category, admits a natural map to the graded center of its homology category: the characteristic homomorphism. We interpret it as an edge homomorphism in a spectral sequence. This gives a conceptual explanation of the failure of the characteristic homomorphism to be injective or surjective, in general. To illustrate this, we discuss modules over the dual numbers, coherent sheaves over algebraic curves, as well as examples related to free loop spaces and string topology.
ISSN: 1022-1824
eISSN: 1420-9020
Embargo on file until: 20-May-2018
Version: Post-print
Status: Peer-reviewed
Type: Journal Article
Rights: Copyright © 2017, Springer Verlag. Deposited with reference to the publisher’s archiving policy available on the SHERPA/RoMEO website.
Description: The file associated with this record is embargoed until 12 months after the date of publication. The final published version may be available through the links above.
Appears in Collections:Published Articles, Dept. of Mathematics

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