The string topology coproduct on complex and quaternionic projective space

2022/04/28 by Maximilian Stegemeyer, Stegemeyer, Maximilian · 2 citations
Physics and Astronomy · #55P50 #58E05 #Algebraic Topology (math.AT) #Black Holes and Theoretical Physics #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2204.13447

openalex publication_date 2022/04/28 · openalex created_date 2022/05/01 · openalex updated_date 2026/07/28

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.

Cited by

• String topology coproduct and Turaev cobracket on surfaces
• Extensions of the loop product and coproduct, the space of antipodal paths and resonances of closed geodesics

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