Homotopy groups of polyhedral products
Homotopy groups of polyhedral products
Online Talk
A conjecture of Moore asserts a deep connection between the torsion and torsion-free parts of the homotopy groups of any simply connected finite CW complex. This is closely related to a conjecture of Anick, which asserts a connection between the p-torsion in the homotopy groups of such spaces, and the p-torsion in the homotopy groups of spheres and Moore spaces for sufficiently large primes p.
In this talk, I will summarise the work of Hao, Sun, and Theriault which verified Moore's conjecture for听moment-angle complexes. I will then discuss work of various authors on Anick's conjecture, culminating in joint work with Vylegzhanin, which verifies the conjecture for听a large class of听polyhedral products. In particular, this class includes all moment-angle comple