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math.AT2016★ 1 cited
An abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra
Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki
We construct an abelian quotient of the symplectic derivation Lie algebra of the free Lie algebra generated by the fundamental representation of $\mathrm{Sp}(2…
math.GT2016★ 2 cited
Morita's trace maps on the group of homology cobordisms
Gwenael Massuyeau, Takuya Sakasai
Morita introduced in 2008 a 1-cocycle on the group of homology cobordisms of surfaces with values in an infinite-dimensional vector space. His 1-cocycle contains all the "traces" o…