15 citations · 91 across the 20 of their papers we have counts for
23 papers
A roadmap to the (vanishing of the) Euler characteristic
Clara Loeh, George Raptis
We give a diagrammatic summary of the connections between various theorems and conjectures about the vanishing of the Euler characteristic.
Flat functors in higher topos theory
George Raptis, Daniel Schäppi
For a small -category and an -topos , we study necessary and sufficient conditions for a functor to determin…
The simplicial coalgebra of chains under three different notions of weak equivalence
George Raptis, Manuel Rivera
We study the simplicial coalgebra of chains on a simplicial set with respect to three notions of weak equivalence. To this end, we construct three model structures on the category…
On the simplicial volume and the Euler characteristic of (aspherical) manifolds
Clara Loeh, Marco Moraschini, George Raptis
A well-known question by Gromov asks whether the vanishing of the simplicial volume of oriented closed connected aspherical manifolds implies the vanishing of the Euler characteris…
Amenability and Acyclicity in Bounded Cohomology Theory
Marco Moraschini, George Raptis
Johnson's characterization of amenable groups states that a discrete group is amenable if and only if for all dual normed -modules V.…
Bounded cohomology and homotopy colimits
George Raptis
The comparison map from bounded cohomology to singular cohomology plays an important role in the study of bounded cohomology theory and its applications. The vanishing and covering…