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ON THE COHOMOLOGY OF TORELLI GROUPS

Published online by Cambridge University Press:  13 April 2020

ALEXANDER KUPERS
Affiliation:
Department of Mathematics, One Oxford Street, Cambridge, MA02138, USA; [email protected]
OSCAR RANDAL-WILLIAMS
Affiliation:
Centre for Mathematical Sciences, Wilberforce Road, CambridgeCB3 0WB, UK; [email protected]

Abstract

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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.

Type
Topology
Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s) 2020

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