Loop homology of quaternionic projective spaces

2010/04/09 by Martin Čadek, Martin Cadek, Cadek, Martin +3
Mathematics · #55P35 #55R20 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:55P35 #msc:55R20

paper · pdf · doi:10.48550/arxiv.1004.1550

8 pages

arxiv created 2010/04/09 · openalex publication_date 2010/04/09 · arxiv updated 2010/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We determine the Batalin-Vilkovisky algebra structure of the integral loop homology of quaternionic projective spaces and octonionic projective plane.

Citations

• The suspended free loop space of a symmetric space
• The string topology BV algebra, Hochschild cohomology and the Goldman bracket on surfaces
• String topology for complex projective spaces

Related

• String topology for complex projective spaces
• Batalin-Vilkovisky algebras and the J-homomorphism
• The string topology coproduct on complex and quaternionic projective space
• String topology and the based loop space
• A Homotopy Theoretic Proof of the BV Identity in Loop Homology