98 citations · 141 across the 5 of their papers we have counts for
6 papers
Johnson's homomorphisms and the Arakelov-Green function
Nariya Kawazumi
Let be the universal family of compact Riemann surfaces of genus . We introduce a real-valued function on the moduli space ${\mathbb…
Canonical 2-forms on the moduli space of Riemann surfaces
Nariya Kawazumi
As was shown by Harer the second homology of , the moduli space of compact Riemann surfaces of genus , is of rank 1, provided . This means a nontrivial…
Canonical lifts of the Johnson homomorphisms to the Torelli groupoid
Alex James Bene, Nariya Kawazumi, R. C. Penner
We prove that every trivalent marked bordered fatgraph comes equipped with a canonical generalized Magnus expansion in the sense of Kawazumi. This Magnus expansion is used to give…
Integral Riemann-Roch formulae for cyclic subgroups of mapping class groups
Toshiyuki Akita, Nariya Kawazumi
The first author conjectured certain relations for Morita-Mumford classes and Newton classes in the integral cohomology of mapping class groups (integral Riemann-Roch formulae). In…
An application of the second Riemann continuation theorem to cohomology of the Lie algebra of vector fields on the complex line
Nariya Kawazumi
We study cohomology groups of the Lie algebra of vector fields on the complex line, , with values in the tensor fields in several variables. From a generalization by Scheja of…
Cohomological Aspects of Magnus Expansions
Nariya Kawazumi
We generalize the notion of a Magnus expansion of a free group in order to extend each of the Johnson homomorphisms defined on a decreasing filtration of the Torelli group for a su…