String spectral sequences
نویسنده
چکیده
The loop homology of a closed orientable manifoldM of dimensionm is the commutative algebra H∗(LM) = H∗+m(LM) equipped with the Chas-Sullivan loop product. Here LM denotes the free loop on M . There is also a homomorphism of graded algebras I from H∗(LM) to the Pontryagin algebra H∗(ΩM). The primary purpose of this paper is to study the loop homology and the homomorphism I, when M is a fibered manifold, by mean of the associated Serre spectral sequence. Some related results are discussed, in particular the link between I and the Cohen-Jones-Yan spectral sequence. AMS Classification : 55P35, 54N45,55N33, 17A65, 81T30, 17B55
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تاریخ انتشار 2005