18 citations · 65 across the 19 of their papers we have counts for
14 papers · 1 filter
The simplicial volume of mapping tori of 3-manifolds
Michelle Bucher, Christoforos Neofytidis
We prove that any mapping torus of a closed 3-manifold has zero simplicial volume. When the fiber is a prime 3-manifold, classification results can be applied to show vanishing of…
Vanishing simplicial volume for certain affine manifolds
Michelle Bucher, Chris Connell, Jean-François Lafont
We show that closed aspherical manifolds supporting an affine structure, whose holonomy map is injective and contains a pure translation, must have vanishing simplicial volume. Thi…
Surface bundles over surfaces: new inequalities between signature, simplicial volume and Euler characteristic
Michelle Bucher, Caterina Campagnolo
We present three new inequalities tying the signature, the simplicial volume and the Euler characteristic of surface bundles over surfaces. Two of them are true for any surface bun…
A quantitative version of a theorem by Jungreis
Michelle Bucher, Roberto Frigerio, Cristina Pagliantini
A fundamental result by Gromov and Thurston asserts that, if M is a closed hyperbolic n-manifold, then the simplicial volume |M| of M is equal to vol(M)/v_n, where v_n is a constan…
The bounded Borel class and complex representations of 3-manifold groups
Michelle Bucher, Marc Burger, Alessandra Iozzi
If is a lattice, we define an invariant of a representation using the Borel class $β(n)\in \mathrm{H}^3_\ma…
A note on semi-conjugacy for circle actions
Michelle Bucher, Roberto Frigerio, Tobias Hartnick
We define a notion of semi-conjugacy between orientation-preserving actions of a group on the circle, which for fixed point free actions coincides with a classical definition of Gh…