15 citations · 91 across the 20 of their papers we have counts for
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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…
Topological manifold bundles and the -theory assembly map
George Raptis, Wolfgang Steimle
We give a new proof of an index theorem for fiber bundles of compact topological manifolds due to Dwyer, Weiss, and Williams, which asserts that the parametrized -theory charact…
On the -cobordism category. I
George Raptis, Wolfgang Steimle
We consider the topological category of -cobordisms between manifolds with boundary and compare its homotopy type with the standard -cobordism space of a compact smooth manif…