Loop Space Homology of Some Homogeneous Spaces
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Date
2013
Authors
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Journal ISSN
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Publisher
University of Namibia
Abstract
Let X be a simply-connected compact oriented manifold of dimension
m. We show that the Gerstenhaber structure of the loop space homology
H (map(S1;X);Q) can be computed in terms of derivations on the minimal Sullivan
model of X. The technique is applied to compute brackets in the loop space
homology of homogeneous spaces.loop space homology.
Description
Keywords
Derivations, Hochschild cohomology, Free loop space homology
Citation
Gatsinzi, J.B. 2013. Loop Space Homology of Some Homogeneous Spaces. International Science and Technology Journal of Namibia 1(1-2):47-54.