21 citations · 61 across the 25 of their papers we have counts for
4 papers · 1 filter
Eigenvalues of Transmission Graph Laplacians
Sylvain E. Cappell, Edward Y. Miller
The standard notion of the Laplacian of a graph is generalized to the setting of a graph with the extra structure of a ``transmission`` system. A transmission system is a mathemati…
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…
Characteristic classes of complex hypersurfaces
Sylvain E. Cappell, Laurentiu Maxim, Joerg Schuermann +1
The Milnor-Hirzebruch class of a locally complete intersection X in an algebraic manifold M measures the difference between the (Poincare dual of the) Hirzebruch class of the virtu…