• Corpus ID: 210473421

Genus zero modular operad and absolute Galois group

  title={Genus zero modular operad and absolute Galois group},
  author={Noemie C. Combe and Yu. I. Manin},
  journal={arXiv: Algebraic Geometry},
In this article, we develop the geometry of canonical stratifications of the spaces $\overline{\mathcal{M}}_{0,n}$ and prepare ground for studying the action of the Galois group $Gal(\overline{\mathbb{Q}}/\mathbb{Q})$ upon strata. 
1 Citations

Figures from this paper

Dessins for Modular Operad and Grothendieck-Teichmuller Group
A part of Grothendieck's program for studying the Galois group $G_{\mathbb Q}$ of the field of all algebraic numbers $\overline{\mathbb Q}$ emerged from his insight that one should lift its action


Operads and Moduli Spaces of Genus 0 Riemann Surfaces
In this paper, we study two dg (differential graded) operads related to the homology of moduli spaces of pointed algebraic curves of genus 0. These two operads are dual to each other, in the sense of
Operads of genus zero curves and the Grothendieck–Teichmüller group
We show that the group of homotopy automorphisms of the profinite completion of the genus zero surface operad is isomorphic to the (profinite) Grothendieck-Teichm\"{u}ller group. Using a result of
Symmetries of genus zero modular operad
In this article combining survey and certain research results, we introduce a categorical framework for description of symmetries of genus zero modular operad. This description merges the techniques
Intersection theory of moduli space of stable N-pointed curves of genus zero
We give a new construction of the moduli space via a composition of smooth codimension two blowups and use our construction to determine the Chow ring
Gromov-Witten classes, quantum cohomology, and enumerative geometry
The paper is devoted to the mathematical aspects of topological quantum field theory and its applications to enumerative problems of algebraic geometry. In particular, it contains an axiomatic
Higher structures, quantum groups and genus zero modular operad
  • Y. Manin
  • Mathematics, Computer Science
    J. Lond. Math. Soc.
  • 2019
The interaction of quadratic algebras structure with operadic structure in the context of enriched category formalism due to G. M. Kelly et al. is studied.
Frobenius manifolds, quantum cohomology, and moduli spaces
Introduction: What is quantum cohomology? Introduction to Frobenius manifolds Frobenius manifolds and isomonodromic deformations Frobenius manifolds and moduli spaces of curves Operads, graphs, and
Hyperplane arrangement cohomology and monomials in the exterior algebra
We show that if X is the complement of a complex hyperplane arrangement, then the homology of X has linear free resolution as a module over the exterior algebra on the first cohomology of X. We study
Koszul duality for Operads
(0.1) The purpose of this paper is to relate two seemingly disparate developments. One is the theory of graph cohomology of Kontsevich [Kon 2 3] which arose out of earlier works of Penner [Pe] and
Remarks on the $L^{2}$-cohomology of singular algebraic surfaces
Let X be a normal singular algebraic surface (over C) embedded in the projective space PN(C) and let S be its singularity set, which consists of isolated singular points. By restricting the