"Homotopy groups of certain highly connected manifolds via loop space h" by Samik Basu and Somnath Basu
 

Homotopy groups of certain highly connected manifolds via loop space homology

Article Type

Research Article

Publication Title

Osaka Journal of Mathematics

Abstract

For n ≥ 2 we consider (n − 1)-connected closed manifolds of dimension at most (3n − 2). We prove that away from a finite set of primes, the p-local homotopy groups of M are determined by the dimension of the space of indecomposable elements in the cohomology ring H∗(M;Q). Moreover, we show that these p-local homotopy groups can be expressed as a direct sum of p-local homotopy groups of spheres. This generalizes some of the results of our earlier work [1].

First Page

417

Last Page

430

Publication Date

4-1-2019

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