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homology of loop spaces

Contents

Contents

Idea

The homology of (iterated) based loop spaces (ordinary homology or generalized homology) carries special structure, reflecting the ∞-group-structure of based loop spaces.

In particular, under mild technical conditions (recalled e.g. in Halperin 92) the Pontrjagin ring-structure induced by concatenation of loops enhances the homology coalgebra induced by the diagonal maps to that of a Hopf algebra.

Examples

References

See also

Created on January 14, 2020 at 02:03:57. See the history of this page for a list of all contributions to it.