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• W3084752902 abstract "We first develop a general theory of Johnson filtrations and Johnson homomorphisms for a group $G$ acting on another group $K$ equipped with a filtration indexed by a good ordered commutative monoid. Then, specializing it to the case where the monoid is the additive monoid $mathbb{N}^2$ of pairs on nonnegative integers, we obtain a theory of double Johnson filtrations and homomorphisms. We apply this theory to the mapping class group $mathcal{M}$ of a surface $Sigma_{g,1}$ with one boundary component, equipped with the normal subgroups $bar{X}$, $bar{Y}$ of $pi_1(Sigma_{g,1})$ associated to a standard Heegaard splitting of the $3$-sphere. We also consider the case where the group $G$ is the automorphism group of a free group." @default.
• W3084752902 created "2020-09-21" @default.
• W3084752902 creator A5024859920 @default.
• W3084752902 creator A5077932016 @default.
• W3084752902 date "2020-09-16" @default.
• W3084752902 modified "2023-09-27" @default.
• W3084752902 title "Double Johnson filtrations for mapping class groups" @default.
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• W3084752902 hasPublicationYear "2020" @default.
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