3 citations · 4 across the 7 of their papers we have counts for
8 papers
The Spectral Geometry of the Mesh Matrices of Graphs
Sylvain E. Cappell, Edward Y. Miller
The mesh matrix of a connected finite graph of with respect to a choice of a spanning tree is defined and s…
Eliminating Depth Cycles among Triangles in Three Dimensions
Boris Aronov, Edward Y. Miller, Micha Sharir
Given pairwise openly disjoint triangles in 3-space, their vertical depth relation may contain cycles. We show that, for any , the triangles can be cut into $O(n…
Enumerative Combinatorics of Simplicial and Cell Complexes: Kirchhoff and Trent Type Theorems
Sylvain E. Cappell, Edward Y. Miller
This paper considers three separate matrices associated to graphs and (each dimension of) cell complexes. It relates all the coefficients of their respective characteristic polynom…
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…
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…
Complex Valued Analytic Torsion for Flat Bundles and for Holomorphic Bundles with (1,1) Connections
Sylvain E. Cappell, Edward Y. Miller
The work of Ray and Singer which introduced analytic torsion, a kind of determinant of the Laplacian operator in topological and holomorphic settings, is naturally generalized in b…