The Loop-coproduct Spectral Sequences
نویسنده
چکیده
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 ev(0) → 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. AMS Classification : 55P35, 54N45,55N33, 17A65, 81T30, 17B55
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