2007/10/18 by Scott O. Wilson, Wilson, Scott O. · 1 citation
Mathematics · #55 #57 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA) #math.AT #math.QA #msc:55 #msc:57
paper · pdf · doi:10.48550/arxiv.0710.3550
This paper has been withdrawn by the author. The definition given for the Frobenius properad is incorrect, i.e. what is stated is not a properad. For sign reasons following from the permutation group actions, in odd degree n, there should be no positive genus operations. The error in that definition invalidates the proof of the main claim in Theorem 4 (even for a proper definition of Frobenius properad). Theorem 8 is also affected similarly
openalex publication_date 2007/10/18 · arxiv created 2014/04/10 · arxiv updated 2014/04/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct an action of a free resolution of the Frobenius properad on the differential forms of a closed oriented manifold. As a consequence, the forms of a manifold with values in a semi-simple Lie algebra have an additional structure given by an action of a free resolution of the properad describing Lie di-algebras with module compatibility.