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Sylvain E. Cappell

  1. Eigenvalues of Transmission Graph Laplacians.

    Tue, 12/22/2009 - 16:01 — SomNambul
    Authors: Sylvain E. Cappell, Edward Y. Miller
    Subjects: Combinatorics
    Abstract

    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 mathematical representation of a means of transmitting
    (multi-parameter) data along directed edges from vertex to vertex.

  2. Hirzebruch classes of complex hypersurfaces.

    Tue, 08/25/2009 - 22:41 — SomNambul
    Authors: Sylvain E. Cappell, Laurentiu Maxim, Joerg Schuermann, Julius L. Shaneson
    Subjects: Algebraic Topology
    Abstract

    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 virtual tangent bundle of X and, respectively, the
    Brasselet-Schuermann-Yokura (homology) Hirzebruch class of X. In this note, we
    calculate the Milnor-Hirzebruch class of a globally defined algebraic
    hypersurface X in terms of the corresponding Hirzebruch invariants of singular
    strata in a Whitney stratification of X.

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