1 citations · 1 across the 5 of their papers we have counts for
6 papers
Image of the third Johnson homomorphism
Quentin Faes, Ricard Riba
In this note we show that the image of the third Johnson homomorphism coincides with the kernel of Morita's trace map for the case of a surface of genus with one boundary…
A Parametrization of Integral Homology 3-Spheres by the Fourth Johnson subgroup
Ricard Riba
By results of Morita, Pitsch and, more recently, Faes, it is known that any integral homology 3-sphere can be constructed as a Heegaard splitting with a gluing map an element of th…
Finite type invariants in low degrees and the Johnson filtration
Wolfgang Pitsch, Ricard Riba
We study the behaviour of the Casson invariant , its square, and Othsuki's second invariant as functions on the Johnson subgroup of the mapping class group. We show that s…
Invariants of -Homology 3-Spheres from the Abelianization of the Level-p Mapping Class Group
Ricard Riba, Wolfgang Pitsch
We study the relation between the set of oriented -homology -spheres and the level- mapping class groups, the kernels of the canonical maps from the mapping cla…
The Rohlin invariant and Z/2-valued invariants of homology spheres
Ricard Riba
In this paper we prove that the Rohlin invariant is the unique invariant inducing a homomorphism on the Torelli group. Using this result we generalize the construction of invariant…
Automorphisms of descending mod-p central series
Ricard Riba
Given a free group of finite rank and a prime number denote by the layer of the Stallings () or Zassenhaus () -cen…