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On the Sp-structure of the torsion of the Lie algebra of homology cylinders

Faes, Quentin et al.
arXiv (All) · Papers
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geometric-topology
Let $Σ$ be a compact oriented surface. We investigate the graded Lie algebra of homology cylinders over $Σ$, as introduced by M. Goussarov and K. Habiro. To analyze its torsion, we refine a strategy initiated by Y. Nozaki, M. Suzuki, and the third author, which relies on the reduction modulo $1$ of
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