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1687 Publications visible to you, out of a total of 1687

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Author: Paula Breitling

Date Published: 2019

Publication Type: Master's Thesis

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Author: Alexandros Stamatakis

Date Published: 2019

Publication Type: InCollection

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Authors: Dora Serdari, Evangelia-Georgia Kostaki, Dimitrios Paraskevis, Alexandros Stamatakis, Paschalia Kapli

Date Published: 2019

Publication Type: Journal

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Authors: Goutam Mukherjee, Prajwal Nandekar, Ghulam Mustafa, Stefan Richter, Rebecca C. Wade

Date Published: 2019

Publication Type: InCollection

Abstract (Expand)

In this paper, we introduce a generalization of G-opers for arbitrary parabolic subgroups P<G. For parabolic subgroups associated to even nilpotents, we parameterize (G,P)-opers by an object generalizing the base of the Hitchin fibration. In particular, we describe families of opers associated to higher Teichmuller spaces

Authors: Brian Collier, Andrew Sanders

Date Published: 2019

Publication Type: Misc

Abstract (Expand)

We introduce coordinates on the space of Lagrangian decorated and framed representations of the fundamental group of a surface with punctures into the symplectic group Sp(2n,R). These coordinates provide a non-commutative generalization of the parametrizations of the spaces of representations into \mathrmSL(2,R) given by Thurston, Penner, and Fock-Goncharov. With these coordinates, the space of framed symplectic representations provides a geometric realization of the non-commutative cluster algebras introduced by Berenstein-Retakh. The locus of positive coordinates maps to the space of decorated maximal representations. We use this to determine the homotopy type of the space of decorated maximal representations, and its homeomorphism type when n=2.

Authors: Daniele Alessandrini, Olivier Guichard, Evgenii Rogozinnikov, Anna Wienhard

Date Published: 2019

Publication Type: Misc

Abstract (Expand)

We study Anosov representation for which the image of the boundary map is the graph of a Lipschitz function, and show that the orbit growth rate with respect to an explicit linear function, the unstable Jacobian, is integral. Several applications to the orbit growth rate in the symmetric space are provided.

Authors: Beatrice Pozzetti, Andrés Sambarino, Anna Wienhard

Date Published: 2019

Publication Type: Misc

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