Operads and PROPs

2008/01/01 by Martin Markl · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Computer science #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.1016/s1570-7954(07)05002-4

crossref issued 2008/01/01 · crossref published 2008/01/01 · crossref published-print 2008/01/01 · openalex publication_date 2008/01/01 · crossref created 2009/06/11 · openalex created_date 2016/06/24 · crossref deposited 2019/05/20 · openalex updated_date 2026/04/05 · crossref indexed 2026/06/18

Citations

• Deformations of algebras over operads and Deligne's conjecture
• Groupes de Monodromie en Géométrie Algébrique
• Homotopy Invariant Algebraic Structures on Topological Spaces
• Another proof of M. Kontsevich formality theorem
• Koszul duality of operads and homology of partition posets
• Dualite de Koszul des PROPs
• An explicit deformation theory of (co)associative bialgebras
• On the PROP corresponding to bialgebras
• The CROCs, non-commutative deformations, and (co)associative bialgebras
• Operads, homotopy algebra and iterated integrals for double loop spaces
• The Cohomology Structure of an Associative Ring
• Infinitesimal computations in topology
• Homotopy-everything 𝐻-spaces
• The irreducibility of the space of curves of given genus
• Cochains and homotopy type
• Deformation Quantization of Poisson Manifolds
• Notes on string topology
• Renormalization in Quantum Field Theory and the Riemann-Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem
• The Geometry of Iterated Loop Spaces
• The cohomology ring of the real locus of the moduli space of stable curves of genus 0 with marked points
• Higher string topology on general spaces
• On the invertibility of quantization functors
• On Kontsevich's Hochschild cohomology conjecture
• Koszul duality for operads

Cited by

• The homotopy theory of simplicial props
• Operad [wikipedia]
• PROP (category theory) [wikipedia]