Separated Lie models and the homotopy Lie algebra |
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Authors: | Peter Bubenik |
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Institution: | Department of Mathematics, Cleveland State University, 2121 Euclid Ave. RT 1515, Cleveland OH, 44115-2214, USA |
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Abstract: | A simply connected topological space X has homotopy Lie algebra π∗(ΩX)⊗Q. Following Quillen, there is a connected differential graded free Lie algebra (dgL) called a Lie model, which determines the rational homotopy type of X, and whose homology is isomorphic to the homotopy Lie algebra. We show that such a Lie model can be replaced with one that has a special property that we call being separated. The homology of a separated dgL has a particular form which lends itself to calculations. |
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Keywords: | Primary 55P62 secondary 17B55 |
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