English

The isomorphism conjecture for Artin groups

K-Theory and Homology 2018-11-19 v3 Geometric Topology

Abstract

We prove the Farrell-Jones fibered isomorphism conjecture for several classes of Artin groups of finite and affine types. As a consequence, we compute explicitly the surgery obstruction groups of the finite type pure Artin groups.

Keywords

Cite

@article{arxiv.1501.00776,
  title  = {The isomorphism conjecture for Artin groups},
  author = {S. K. Roushon},
  journal= {arXiv preprint arXiv:1501.00776},
  year   = {2018}
}

Comments

There is an irrecoverable error in the proof of Theorem 4.2. This theorem is crucial for the proof of Theorem 1.1. The paper is withdrawn

R2 v1 2026-06-22T07:50:45.137Z