Lagrangian traces for the Johnson filtration of the handlebody group
نویسندگان
چکیده
In this paper, we define trace-like operators on a subspace of the space derivations free Lie algebra generated by first homology group H surface Σ. This definition depends choice Lagrangian H, and call these traces. We suppose that Σ is boundary handlebody with H′, show that, in degree greater than 2, traces corresponding to Ker(H→H′) vanish image Johnson homomorphisms elements filtration extend handlebody.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2023
ISSN: ['1879-3207', '0166-8641']
DOI: https://doi.org/10.1016/j.topol.2022.108337