Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

ON THE COHOMOLOGY OF TORELLI GROUPS

View through CrossRef
We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds$\#^{g}S^{n}\times S^{n}$relative to a disc in a stable range, for$2n\geqslant 6$. Our calculation is also valid for$2n=2$assuming that the rational cohomology groups of these Torelli groups are finite-dimensional in a stable range.
Title: ON THE COHOMOLOGY OF TORELLI GROUPS
Description:
We completely describe the algebraic part of the rational cohomology of the Torelli groups of the manifolds$\#^{g}S^{n}\times S^{n}$relative to a disc in a stable range, for$2n\geqslant 6$.
Our calculation is also valid for$2n=2$assuming that the rational cohomology groups of these Torelli groups are finite-dimensional in a stable range.

Related Results

Shifted generic cohomology
Shifted generic cohomology
AbstractThe idea that the cohomology of finite groups might be fruitfully approached via the cohomology of ambient semisimple algebraic groups was first shown to be viable in the p...
The cohomology of Torelli groups is algebraic
The cohomology of Torelli groups is algebraic
Abstract The Torelli group of $W_g = \#^g S^n \times S^n$ is the group of diffeomorphisms of $W_g$ fixing a disc that...
Coarse Sheaf Cohomology
Coarse Sheaf Cohomology
A certain Grothendieck topology assigned to a metric space gives rise to a sheaf cohomology theory which sees the coarse structure of the space. Already constant coefficients produ...
ℓ∞-Cohomology: Amenability, relative hyperbolicity, isoperimetric inequalities and undecidability
ℓ∞-Cohomology: Amenability, relative hyperbolicity, isoperimetric inequalities and undecidability
We revisit Gersten’s [Formula: see text]-cohomology of groups and spaces, removing the finiteness assumptions required by the original definition while retaining its geometric natu...
Relative cohomology of complexes based on cotorsion pairs
Relative cohomology of complexes based on cotorsion pairs
Let [Formula: see text] be an associative ring with identity. The purpose of this paper is to establish relative cohomology theories based on cotorsion pairs in the setting of unbo...
Giuseppe Torelli and the birth of the Violin Concerto
Giuseppe Torelli and the birth of the Violin Concerto
Giuseppe Torelli (1658-1709), a violinist and composer famous all over Europe during his lifetime, has not received much attention in today's concert programs and academic environm...
Spectral sequences
Spectral sequences
Abstract Spectral sequences play an important role in group cohomology because they provide a means of reducing cohomology in a complex situation to the cohomology o...
Magnitude cohomology
Magnitude cohomology
AbstractMagnitude homology was introduced by Hepworth and Willerton in the case of graphs, and was later extended by Leinster and Shulman to metric spaces and enriched categories. ...

Back to Top