The modular envelope of the cyclic operad Ass

2013/12/19 by Martin Doubek, Doubek, Martin · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1312.5501

openalex publication_date 2013/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a direct combinatorial proof that the modular envelope of the cyclic operad Ass is the modular operad of (the homeomorphism classes of) 2D compact surfaces with boundary with marked points.

Citations

• The A-infinity operad and the moduli space of curves

Cited by

• Open-closed modular operads, Cardy condition and string field theory

Related

• The A-infinity operad and the moduli space of curves
• Open-closed modular operads, Cardy condition and string field theory
• Modular envelopes, OSFT and nonsymmetric (non-Σ) modular operads
• Extended modular operad
• Partitions of cyclic words and Goldman-Turaev Lie bialgebra