2012/06/25 by Tarje Bargheer, Bargheer, Tarje
Mathematics · Medicine · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Pituitary Gland Disorders and Treatments #math.AT
paper · pdf · doi:10.48550/arxiv.1206.5842
This paper is under revision since there is a mistake not taking twistings into account. An upcoming paper with a different scope solves this problem in a geometric fashion. The statements on the compactifications in this paper will be reformulated accordingly
openalex publication_date 2012/06/25 · arxiv created 2014/12/08 · arxiv updated 2014/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Via a compactification of the cleavage operad, we describe two actions on the mapping spaces from spheres into compact, oriented manifolds. The map from the compactified version of the cleavage operad provides a version of intersection theory along the underlying base manifold lifted to the mapping space. The other action map only works for the uncompactified cleavage operad, and gives a homotopy theoretic version of higher dimensional string topology.