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Advances in Mathematics, ISSN 0001-8708, 12/2017, Volume 321, pp. 326 - 390
In this paper, we prove that the group of homotopy automorphisms of the profinite completion of the operad of little 2-disks is isomorphic to the profinite... 
Grothendieck–Teichmüller group | Little disk operad | Profinite completion | MATHEMATICS | IND-CATEGORIES | SPACES | Grothendieck-Teichmuller group | HOMOTOPY-THEORY
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 5/2010, Volume 362, Issue 5, pp. 2507 - 2523
In this article we prove that for any hyperbolic Riemann surface M of infinite analytic type, the little Bers space Q₀(M) is isomorphic to c₀. As a consequence... 
Equivalence relation | Unit ball | Riemann surfaces | Embeddings | Riemann manifold | Mathematical theorems | Infinity | Differentials | Banach space | MATHEMATICS | MAPS | little Bers space | Asymptotic Teichmuller space
Journal Article
Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, 2018, Volume 43, pp. 935 - 943
We will prove that an increasing homeomorphism h in the Weil-Petersson class on the real line must be locally absolutely continuous such that log h' belongs to... 
Weil-Petersson class | Little Teichmüller space | Universal Teichmüller space | Quasiconformal mapping | Sobolev class | Weil-Petersson Teichmüller space | MATHEMATICS | little Teichmuller space | Universal Teichmuller space | Weil-Petersson Teichmuller space | quasiconformal mapping
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 7/2010, Volume 93, Issue 1, pp. 29 - 35
Journal Article
Letters in Mathematical Physics, ISSN 0377-9017, 10/2003, Volume 66, Issue 1, pp. 65 - 72
We prove that the chain operad of little disks is formal in characteristic zero, and discuss briefly the relation with Kontsevich formality in deformation... 
Geometry | little disks operad | Mathematical and Computational Physics | quasi-isomorphism | nerve | formality | Group Theory and Generalizations | category | Physics | Statistical Physics | braid group | Nerve | Quasi-isomorphism | Category | Braid group | Formality | Little disks operad | PHYSICS, MATHEMATICAL
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