University of Birmingham > Talks@bham > Algebra Seminar > The loop space homology of a small category

The loop space homology of a small category

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We generalise some results of Dave Benson on the homology of the loop space of a p-completed classifying space of a finite group. In particular, we show that the loop space homology of a plus construction (in the sense of Quillen) of the nerve of a small category can be computed in purely algebraic terms as the homology of a chain complex of projective RC-modules satisfying a certain list of algebraic conditions that determine it uniquely up to chain homotopy. This is joint work with Ran Levi and Bob Oliver.

This talk is part of the Algebra Seminar series.

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