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[98] Topological Aspects of Loop Groups

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Abstract

The purpose of these lectures is to give an introduction to the topological aspect s of the loop space ΩG when G is a compact Lie group. We will give a direct method of computing the cohomology of ΩG from very geometric and group theoretic data, usually referred to as the diagram. The main tool in our calculations is a version of Morse theory adapted to the study of loop spaces.

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Fehér, L., Stipsicz, A., Szenthe, J. (2017). [98] Topological Aspects of Loop Groups. In: Tu, L. (eds) Raoul Bott: Collected Papers . Contemporary Mathematicians. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-51781-0_21

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