The loop-coproduct spectral sequence

2005/12/13 by Borgne, J. F. Le
#17A65 #17B55 #54N45 #55N33 #55P35 #81T30 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.math/0512276

Abstract

Let M be a closed oriented d-dimensionnal manifold and let LM be the space of free loops on M. In this paper, we give a geometrical interpretation of the loop coproduct and we study it's compatibility with the Serre spectral sequence associated to the fibration ΩM → LM → M. Then, we show that the spectral sequence associated to the free loop fibration LN → LX → LM of some Serre fibration N → X → M is a spectral sequence of Frobenius algebra.

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