Cohomology of group theoretic Dehn fillings II: A spectral sequence

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.

Nansen Petrosyan has joined the project and proofs are simplified. As a consequence, we are able to combined the current paper with arXiv:1908.01290. Please take a look