41 citations · 61 across the 3 of their papers we have counts for
9 papers · 1 filter
The Dimension of the Torelli group
Mladen Bestvina, Kai-Uwe Bux, Dan Margalit
We prove that the cohomological dimension of the Torelli group for a closed connected orientable surface of genus g at least 2 is equal to 3g-5. This answers a question of Mess, wh…
Counting maps from a surface to a graph
Mladen Bestvina, Mark Feighn
Let F be a non-abelian finite rank free group, and let H_g be the fundamental group of a surface of genus g with one boundary component represented by D_g in H_g. So, H_g is the fr…
The topology of
Mladen Bestvina
We will survey the work on the topology of in the last 20 years or so. Much of the development is driven by the tantalizing analogy with mapping class groups. Unfortunat…
Proper actions of lattices on contractible manifolds
Mladen Bestvina, Mark Feighn
Every lattice H in a connected semi-simple Lie group G acts properly discontinuously by isometries on the contractible manifold G/K (K a maximal compact subgroup of G). We prove th…
Van Kampen's embedding obstruction for discrete groups
Mladen Bestvina, Michael Kapovich, Bruce Kleiner
We give a lower bound to the dimension of a contractible manifold on which a given group can act properly discontinuously. In particular, we show that the -fold product of nonab…
Solvable subgroups of Out(F_n) are virtually abelian
Mladen Bestvina, Mark Feighn, Michael Handel
A companion result of the the Tits alternative for is proved: Every solvable subgroup of is finitely generated and virtually abelian.