Loop homology of quaternionic projective spaces
Martin Cadek, Zdenek Moravec
TL;DR
This paper computes the algebraic structure of the loop homology for quaternionic projective spaces and the octonionic projective plane, revealing their Batalin-Vilkovisky algebra structures.
Contribution
It provides the first explicit determination of the Batalin-Vilkovisky algebra structure for these specific projective spaces.
Findings
Batalin-Vilkovisky algebra structure of quaternionic projective spaces determined
Batalin-Vilkovisky algebra structure of octonionic projective plane determined
New insights into the algebraic topology of these spaces
Abstract
We determine the Batalin-Vilkovisky algebra structure of the integral loop homology of quaternionic projective spaces and octonionic projective plane.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra