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19992026
most citedComputations in formal symplectic geometry and characteristic classes of moduli spaces

18 citations · 93 across the 17 of their papers we have counts for

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17 papers

math.GT2026

The first Galois obstruction in the Johnson cokernel

Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki

We explicitly determine the first Galois obstruction in the cokernel of the Johnson homomorphism of the mapping class group of a surface of genus , for every genus . It…

math.GT2023

Remarks on flat -bundles, vs

Teruaki Kitano, Yoshihiko Mitsumatsu, Shigeyuki Morita

We describe low dimensional homology groups of in terms of Haefliger's classifying space by applying a theorem of Thurston. Then we consider…

math.GT2017★ 10 cited

Torelli group, Johnson kernel and invariants of homology spheres

Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki

In the late 1980's, it was shown that the Casson invariant appears in the difference between the two filtrations of the Torelli group: the lower central series and the Johnson filt…

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.AT2015

Secondary characteristic classes for subgroups of automorphism groups of free groups

Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki

By analyzing how the Borel regulator classes vanish on various groups related to , we define three series of secondary characteristic classes for subgrou…

math.AT2014★ 6 cited

Integral Euler characteristic of Out F_{11}

Shigeyuki Morita, Takuya Sakasai, Masaaki Suzuki

We show that the integral Euler characteristic of the outer automorphism group of the free group of rank 11 is -1202.