Hodge theory of the Turaev cobracket and the Kashiwara-Vergne problem
From MaRDI portal
Publication:824418
DOI10.4171/JEMS/1088zbMath1483.14015arXiv1807.09209OpenAlexW3174955556MaRDI QIDQ824418
Publication date: 15 December 2021
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.09209
Families, moduli of curves (algebraic) (14H10) de Rham theory in global analysis (58A12) Lie bialgebras; Lie coalgebras (17B62) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)
Related Items
Topological constructions of tensor fields on moduli spaces, Congruence topologies on the mapping class group, Loops in surfaces and star-fillings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Mixed Tate motives over \(\mathbb{Z}\)
- Higher genus Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra
- The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
- Invariant functions on Lie groups and Hamiltonian flows of surface group representations
- The de Rham homotopy theory of complex algebraic varieties. I
- Casson invariant, signature defect of framed manifolds and the secondary characteristic classes of surface bundles
- Connected components of the moduli spaces of Abelian differentials with prescribed singularities
- Combinatorial Lie bialgebras of curves on surfaces.
- The Goldman-Turaev Lie bialgebra in genus zero and the Kashiwara-Vergne problem
- On the completion of the mapping class group of genus two
- Mixed Hodge structures on the homotopy of links
- Compactification of strata of abelian differentials
- Hodge theory of the Goldman bracket
- The logarithms of Dehn twists
- Théorie de Hodge. III
- Johnson homomorphisms
- Normal Functions and the Geometry of Moduli Spaces of Curves
- Rational points of universal curves
- Braid monodromies on proper curves and pro-ℓ Galois representations
- Relative Weight Filtrations on Completions of Mapping Class Groups
- Immersions of Manifolds
- Skein quantization of Poisson algebras of loops on surfaces
- Infinitesimal presentations of the Torelli groups
- The hodge de rham theory of relative malcev completion1
- The mapping class group orbits in the framings of compact surfaces
- UNIVERSAL MIXED ELLIPTIC MOTIVES
- Genus 3 mapping class groups are not Kähler
- GALOIS ACTIONS ON FUNDAMENTAL GROUPS OF CURVES AND THE CYCLE $C-C^{-}$
- Intersection of curves on surfaces and their applications to mapping class groups