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arXiv · 0903.4704

On the E^1-term of the gravity spectral sequence

Dai Tamaki
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Abstract

The author constructed a spectral sequence strongly converging to h_*(Omega^n Sigma^n X) for any homology theory in [Topology 33 (1994) 631-662]. In this note, we prove that the E^1-term of the spectral sequence is isomorphic to the cobar construction, and hence the spectral sequence is isomorphic to the classical cobar-type Eilenberg-Moore spectral sequence based on the geometric cobar construction from the E^1-term. Similar arguments can be also applied to its variants constructed in [Contemp Math 293 (2002) 299-329].

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Dai Tamaki. 2009-03-26. On the E^1-term of the gravity spectral sequence. https://doi.org/10.2140/gtm.2007.10.347

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