21 citations · 61 across the 25 of their papers we have counts for
6 papers · 1 filter
Bott Integrability and Higher Integrability; Higher Cheeger-Simons and Godbillon-Vey Invariants
Oliver Attie, Sylvain Cappell
This paper studies the interaction of for a manifold with Bott's original obstruction to integrability, and with differential geometric invariants such as G…
SU(n) and U(n) Representations of Three-Manifolds with Boundary
Sylvain E. Cappell, Edward Y. Miller
Results are obtained on extending flat vector bundles or equivalently general representations from the fundamental group of S, a connected subsurface of the connected boundary of a…
Topological Classification of Multiaxial U(n)-Actions
Sylvain Cappell, Shmuel Weinberger, Min Yan
A U(n)-manifold is multiaxial if the isotropy groups are always conjugate to unitary subgroups. The classification and the concordance of such manifolds have been studied by Davis,…
Closed Aspherical Manifolds with Center
Sylvain Cappell, Shmuel Weinberger, Min Yan
We show that in all dimensions >7 there are closed aspherical manifolds whose fundamental groups have nontrivial center but do not possess any topological circle actions. This disp…
Functoriality of Isovariant Homotopy Classification
Sylvain Cappell, Shmuel Weinberger, Min Yan
It is a deep fact that the homotopy classification of topological manifolds is convariantly functorial. In other words, a map from a topological manifold M to another N naturally i…
Replacement of fixed sets for compact group actions: The 2ρtheorem
Sylvain Cappell, Shmuel Weinberger, Min Yan
If M and N are equivariantly homotopy equivalent G-manifolds, then the fixed sets M^G and N^G are also homotopy equivalent. The replacement problem asks the converse question: If F…