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UAB Digital Repository of Documents 4 records found  Search took 0.01 seconds. 
1.
32 p, 633.5 KB Volumes of SL_n(C)-representations of hyperbolic 3-manifolds / Pitsch, Wolfgang (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Porti, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Let M be a compact oriented three-manifold whose interior is hyperbolic of finite volume. We prove a variation formula for the volume on the variety of representations of1 (M) in SLn (C). Our proof follows the strategy of Reznikov's rigidity when M is closed; in particular, we use Fuks's approach to variations by means of Lie algebra cohomology. [...]
2018 - 10.2140/gt.2018.22.4067
Geometry and Topology, Vol. 22, Issue 7 (December 2018) , p. 4067-4112  
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2.
66 p, 686.7 KB Dynamics on flag manifolds : domains of proper discontinuity and cocompactness / Kapovich, Michael (University of California at Davis) ; Leeb, Bernhard (Universität München) ; Porti, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
For noncompact semisimple Lie groups G with finite center, we study the dynamics of the actions of their discrete subgroups Γ < G on the associated partial flag manifolds G/P. Our study is based on the observation, already made in the deep work of Benoist, that they exhibit also in higher rank a certain form of convergence-type dynamics. [...]
2017 - 10.2140/gt.2018.22.157
Geometry and Topology, Vol. 22, Issue 1 (October 2017) , p. 157-234  
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3.
79 p, 743.7 KB A morse lemma for quasigeodesics in symmetric spaces and euclidean buildings / Kapovich, Michael (University of California at Davis) ; Leeb, Bernhard (Ludwig-Maximilians-Universität München) ; Porti, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
We prove a Morse lemma for regular quasigeodesics in nonpositively curved symmetric spaces and euclidean buildings. We apply it to give a new coarse geometric characterization of Anosov subgroups of the isometry groups of such spaces simply as undistorted subgroups which are uniformly regular.
2018 - 10.2140/gt.2018.22.3827
Geometry and Topology, Vol. 22, Issue 7 (December 2018) , p. 3827-3923  
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4.
Topology of singular foliation germs in C2 / Marín Pérez, David (Universitat Autònoma de Barcelona. Departament de Matemàtiques) ; Mattei, Jean François (Institut de Mathématiques de Toulouse) ; Salem, Éliane (Université de Paris)
In this article we give an overview on the topology of singularities of holomorphic foliation germs in C2. We describe several results of the authors on the topology of the leaves and the structure of the leaf space. [...]
Springer, 2024
Handbook of Geometry and Topology of Singularities V: Foliations, 2024, p. 167-216  
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