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The Moduli Space of Thickenings

Mokhtar Aouina
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Abstract

This paper studies the homotopy type of the moduli space of compact n-manifold thickenings of a finite complex. The main result computes the homotopy fibers of the stabilization map from n-thickenings to (n+1)-thickenings in a wide range. In particular, we obtain an EHP-type sequence for thickenings extending work of C.T.C. Wall.

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Mokhtar Aouina. 2007-02-16. The Moduli Space of Thickenings. https://arxiv.org/abs/math/0702500

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