An $H$-space with finite dimensional homology whose loop space has torsion

Torsion in Loop Space Homology of Rationally Contractible Spaces

Let R be a torsion free principal ideal domain. We study the growth of torsion in loop space homology of simply-connected DGR-coalgebras C, whose homology admits an exponent r in R. Here by loop space homology we mean the homology of the loop algebra construction on C. We compute a bound on the growth of torsion in such objects and show that in general this bound is best possible. Our methods a...

Fe b 20 03 Torsion primes in loop space homology

We construct a finite 1-connected CW complex X such that H * (ΩX; Z) has p-torsion for the infinitely many primes satisfying p ≡ 5, 7, 17, 19 mod 24, but no p-torsion for the infinitely many primes satisfying p ≡ 13 or 23 mod 24. A homology torsion prime for a topological space Y is a prime p such that H * (Y ; Z) has p torsion. In [3] and [4] respectively, D. Anick and L. Avramov constructed s...

Free loop space and homology

The aim of this paper is to explain the relationship between the (co)homology of the free loop space and the Hochschild homology of its singular cochain algebra. We introduce all the relevant technical tools, namely simplicial and cyclic objects, and we provide the various steps of the proofs, which are scattered around in the literature. This paper can be seen as a companion to the paper “Cycl...

Space-times with Torsion

We study models of axi-dilaton gravity in space-time geometries with torsion. We discuss conformal rescaling rules in both Riemannian and non-Riemannian formulations. We give static, spherically symmetric solutions and examine their singularity behaviour. PACS numbers: 04.50.+h, 04.20.Jb, 04.70.Bw E.mail: [email protected] E.mail: [email protected] 1

Homology of Projective Space over Finite Fields