Outer automorphism groups of one-ended hyperbolic groups are virtually hierarchically hyperbolic under orientability conditions on JSJ decompositions, via bounded central extensions of orbifold mapping class groups, with a sharpness counterexample.
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Resolvents of the sample covariances in the separable mixture model approximate deterministic matrices defined via solutions to a dual system of equations, without simultaneous diagonalizability assumptions.
Computes algebraic and analytic Brauer groups for homogeneous spaces under connected simply connected semisimple complex algebraic group actions with closed connected stabilizers.
Every finite d-dimensional simplicial complex is a deformation retract of a (2d-1)-dimensional pseudomanifold with boundary and embeds as a retract in a closed (2d-1)-dimensional pseudomanifold.
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Outer automorphism groups of hyperbolic groups, bounded extensions, and hierarchical hyperbolicity
Outer automorphism groups of one-ended hyperbolic groups are virtually hierarchically hyperbolic under orientability conditions on JSJ decompositions, via bounded central extensions of orbifold mapping class groups, with a sharpness counterexample.
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Spectral approximation for the separable covariance mixture model
Resolvents of the sample covariances in the separable mixture model approximate deterministic matrices defined via solutions to a dual system of equations, without simultaneous diagonalizability assumptions.
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Algebraic and analytic Brauer groups of homogeneous spaces
Computes algebraic and analytic Brauer groups for homogeneous spaces under connected simply connected semisimple complex algebraic group actions with closed connected stabilizers.
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Embedding complexes into pseudomanifolds
Every finite d-dimensional simplicial complex is a deformation retract of a (2d-1)-dimensional pseudomanifold with boundary and embeds as a retract in a closed (2d-1)-dimensional pseudomanifold.