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Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen

Mahan Mj

Séminaire de théorie spectrale et géométrie

The notion of generalises simultaneously and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.

The Fujiki class and positive degree maps

Gautam Bharali; Indranil Biswas; Mahan Mj — 2015

Complex Manifolds

We show that a map between complex-analytic manifolds, at least one ofwhich is in the Fujiki class, is a biholomorphism under a natural condition on the second cohomologies. We use this to establish that, with mild restrictions, a certain relation of “domination” introduced by Gromov is in fact a partial order.

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