Homotopy groups of highly connected manifolds
Article Type
Research Article
Publication Title
Advances in Mathematics
Abstract
In this paper we give a formula for the homotopy groups of (n−1)-connected 2n-manifolds as a direct sum of homotopy groups of spheres in the case the nth Betti number is larger than 1. We demonstrate that when the nth Betti number is 1 the homotopy groups might not have such a decomposition. The techniques used in this computation also yield formulas for homotopy groups of connected sums of sphere products and CW complexes of a similar type. In all the families of spaces considered here, we establish a conjecture of J. C. Moore.
First Page
363
Last Page
416
DOI
10.1016/j.aim.2018.08.006
Publication Date
10-15-2018
Recommended Citation
Basu, Samik and Basu, Somnath, "Homotopy groups of highly connected manifolds" (2018). Journal Articles. 1191.
https://digitalcommons.isical.ac.in/journal-articles/1191
Comments
All Open Access, Green