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arXiv · 2204.13447

The string topology coproduct on complex and quaternionic projective space

Maximilian Stegemeyer
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Abstract

On the free loop space of compact symmetric spaces Ziller introduced explicit cycles generating the homology of the free loop space. We use these explicit cycles to compute the string topology coproduct on complex and quaternionic projective space. The behavior of the Goresky-Hingston product for these spaces then follows directly.

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Maximilian Stegemeyer. 2022-04-28. The string topology coproduct on complex and quaternionic projective space. https://arxiv.org/abs/2204.13447

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