The string topology coproduct on complex and quaternionic projective space
Maximilian Stegemeyer

TL;DR
This paper computes the string topology coproduct on the free loop space of complex and quaternionic projective spaces using explicit cycles, revealing the behavior of the Goresky-Hingston product for these spaces.
Contribution
It introduces explicit cycles to compute the string topology coproduct on complex and quaternionic projective spaces, advancing understanding of their loop space homology.
Findings
Computed the string topology coproduct for these spaces
Determined the behavior of the Goresky-Hingston product
Provided explicit cycles generating homology
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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Taxonomy
TopicsBlack Holes and Theoretical Physics · Noncommutative and Quantum Gravity Theories · Nonlinear Waves and Solitons
