Cohomology of group theoretic Dehn fillings II: A spectral sequence

2019/07/29 by Sun, Bin
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1907.12183

Abstract

This is the second paper in a series of three papers aiming to study cohomology of group theoretic Dehn fillings. In the present paper, we derive a spectral sequence for Cohen-Lyndon triples which can be thought of as a refined version of the classical Lyndon-Hochschild-Serre spectral sequence in the settings of group theoretic Dehn fillings. In the next paper arXiv:1908.01290, we will apply this spectral sequence to study cohomological finiteness properties of Dehn fillings of acylindrically hyperbolic groups.

Related

• Cohomology of group theoretic Dehn fillings II
• Dehn fillings, equivariant homology, and the Baum-Connes conjecture
• L²-Betti numbers of Dehn fillings
• A generalization of the Lyndon--Hochschild--Serre spectral sequence with applications to group cohomology and decompositions of groups
• Dehn functions and the space of marked groups