References of "Advances in Mathematics"
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See detailPolynomial quadratic differentials on the complex plane and light-like polygons in the Einstein Universe
Tamburelli, Andrea UL

in Advances in Mathematics (2019), 352

We construct geometrically a homeomorphism between the moduli space of polynomial quadratic differentials on the complex plane and light-like polygons in the 2-dimensional Einstein Universe. As an ... [more ▼]

We construct geometrically a homeomorphism between the moduli space of polynomial quadratic differentials on the complex plane and light-like polygons in the 2-dimensional Einstein Universe. As an application, we find a class of minimal Lagrangian maps between ideal polygons in the hyperbolic plane. [less ▲]

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See detailDifferentials on graph complexes
Khoroskhin, Anton; Willwacher, Thomas; Zivkovic, Marko UL

in Advances in Mathematics (2017), 307

We study the cohomology of complexes of ordinary (non-decorated) graphs, introduced by M. Kontsevich. We construct spectral sequences converging to zero whose first page contains the graph cohomology. In ... [more ▼]

We study the cohomology of complexes of ordinary (non-decorated) graphs, introduced by M. Kontsevich. We construct spectral sequences converging to zero whose first page contains the graph cohomology. In particular, these spectral sequences may be used to show the existence of an infinite series of previously unknown and provably non-trivial cohomology classes, and put constraints on the structure of the graph cohomology as a whole. [less ▲]

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See detailMultiple edges in M. Kontsevich's graph complexes and computations of the dimensions and Euler characteristics
Willwacher, Thomas; Zivkovic, Marko UL

in Advances in Mathematics (2015), 272

We study the cohomology of complexes of ordinary (non- decorated) graphs, introduced by M. Kontsevich. We construct spectral sequences converging to zero whose first page contains the graph cohomology. In ... [more ▼]

We study the cohomology of complexes of ordinary (non- decorated) graphs, introduced by M. Kontsevich. We construct spectral sequences converging to zero whose first page contains the graph cohomology. In particular, these spectral sequences may be used to show the existence of an infinite series of previously unknown and provably non-trivial cohomology classes, and put constraints on the structure of the graph cohomology as a whole. [less ▲]

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See detailAn analogue of Cobham's theorem for graph directed iterated function systems
Charlier, Emilie; Leroy, Julien UL; Rigo, Michel

in Advances in Mathematics (2014)

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See detailFourier-Mukai transform in the quantized setting
Petit, François UL

in Advances in Mathematics (2014), 256

We prove that a coherent DQ-kernel induces an equivalence between the derived categories of DQ-modules with coherent cohomology if and only if the graded commutative kernel associated to it induces an ... [more ▼]

We prove that a coherent DQ-kernel induces an equivalence between the derived categories of DQ-modules with coherent cohomology if and only if the graded commutative kernel associated to it induces an equivalence between the derived categories of coherent sheaves. [less ▲]

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See detailClassification of maximal transitive prolongations of super-Poincaré algebras
Santi, Andrea UL; Altomani, Andrea UL

in Advances in Mathematics (2014), (265), 60-96

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See detailAsymptotics of Harish-Chandra expansions, bounded hypergeometric functions associated with root systems, and applications
Narayanan, E.K.; Pasquale, Angela; Pusti, Sanjoy UL

in Advances in Mathematics (2014), 252

A series expansion for Heckman-Opdam hypergeometric functions $\varphi_\l$ is obtained for all $\l \in \fa^*_{\mathbb C}.$ As a consequence, estimates for $\varphi_\l$ away from the walls of a Weyl ... [more ▼]

A series expansion for Heckman-Opdam hypergeometric functions $\varphi_\l$ is obtained for all $\l \in \fa^*_{\mathbb C}.$ As a consequence, estimates for $\varphi_\l$ away from the walls of a Weyl chamber are established. We also characterize the bounded hypergeometric functions and thus prove an analogue of the celebrated theorem of Helgason and Johnson on the bounded spherical functions on a Riemannian symmetric space of the noncompact type. The $L^p$-theory for the hypergeometric Fourier transform is developed for $0<p<2$. In particular, an inversion formula is proved when $1\leq p <2$. [less ▲]

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See detailGivental group action on topological field theories and homotopy Batalin-Vilkovisky algebras
Shadrin, Sergey; Vallette, Bruno; Dotsenko, Vladimir UL

in Advances in Mathematics (2013), 236

Detailed reference viewed: 122 (2 UL)