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The Getzler-Gauss-Manin connection and Kontsevich-Soibelman operations on the periodic cyclic homology

Chen, Zihong
arXiv (All) · Papers
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algebraic-topologyquantum-algebrasymplectic-geometry
We study equivariant operations on the periodic cyclic homology of dg algebras that arise from the chain level action of the two-colored Kontsevich-Soibelman operad. The first main result is that these operations are covariantly constant with respect to the Getzler-Gauss-Manin connection on the peri
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