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- W4310291207 abstract "In this paper, we define trace-like operators on a subspace of the space of derivations of the free Lie algebra generated by the first homology group H of a surface Σ. This definition depends on the choice of a Lagrangian of H, and we call these operators the Lagrangian traces. We suppose that Σ is the boundary of a handlebody with first homology group H′, and we show that, in degree greater than 2, the Lagrangian traces corresponding to the Lagrangian Ker(H→H′) vanish on the image by the Johnson homomorphisms of the elements of the Johnson filtration that extend to the handlebody." @default.
- W4310291207 created "2022-11-30" @default.
- W4310291207 creator A5091235642 @default.
- W4310291207 date "2023-02-01" @default.
- W4310291207 modified "2023-09-27" @default.
- W4310291207 title "Lagrangian traces for the Johnson filtration of the handlebody group" @default.
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- W4310291207 doi "https://doi.org/10.1016/j.topol.2022.108337" @default.
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