Anna Marie Bohmann, Teena Gerhardt, Brooke Shipley
Published 2021-05-05Version 1
We study the homology of free loop spaces via techniques arising from the theory of topological coHochschild homology (coTHH). Topological coHochschild homology is a topological analogue of the classical theory of coHochschild homology for coalgebras. We produce new spectrum-level structure on coTHH of suspension spectra as well as new algebraic structure in the coB\"okstedt spectral sequence for computing coTHH. These new techniques allow us to compute the homology of free loop spaces in several new cases, extending known calculations.
On the Topology of Fibrations with Section and Free Loop Spaces
Evaluation maps and transfers for free loop spaces I
Exponential growth in the rational homology of free loop spaces and in torsion homotopy groups
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