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Spectral Sequences for Hochschild cohomology and graded centers of derived categories
journal contribution
posted on 2017-06-14, 15:08 authored by Frank Neumann, Markus SzymikThe 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.
History
Citation
Selecta Mathematica (New Series), 2017, 23(3), pp. 1997–2018Author affiliation
/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of MathematicsVersion
- AM (Accepted Manuscript)