98 citations · 233 across the 28 of their papers we have counts for
31 papers
-framings and -quadratic forms on surfaces
Nariya Kawazumi
We introduce the notions of -framings, based -framings and relative -framings of a compact connected oriented surface for any commutative ri…
A topological proof of Wolpert's formula for the Weil-Petersson symplectic form in terms of the Fenchel-Nielsen coordinates
Nariya Kawazumi
We introduce a natural cell decomposition of a closed oriented surface associated with a pants decomposition, and an explicit groupoid cocycle on the cell decomposition which repre…
Stable twisted cohomology of the mapping class groups in the exterior powers of the unit tangent bundle homology
Nariya Kawazumi, Arthur Soulié
We study the stable cohomology groups of the mapping class groups of surfaces with twisted coefficients given by the exterior powers of the first rational homology of the…
Stable twisted cohomology of the mapping class groups in the unit tangent bundle homology
Nariya Kawazumi, Arthur Soulié
We compute the stable cohomology groups of the mapping class groups of compact orientable surfaces with one boundary, with twisted coefficients given by the homology of the unit ta…
A twisted invariant of a compact Riemann surface
Nariya Kawazumi
We introduce a twisted version of the Kawazumi-Zhang invariant of a compact Riemann surface of genus , and discuss how it is related to the first Mumf…
On the wheeled PROP of stable cohomology of Aut(F_n) with bivariant coefficients
Nariya Kawazumi, Christine Vespa
We show that the stable cohomology of automorphism groups of free groups with coefficients obtained by applying Hom(-,-) to tensor powers of the abelianization, is equipped with th…