21 citations · 61 across the 25 of their papers we have counts for
28 papers
Maslov Indicies In Symplectic Geometry Revisited
Sylvain E. Cappell, Edward Y. Miller
Thirty years ago in ``On the Maslov Index'' the present authors with their late collaborator Prof. Ronnie Lee of Yale University presented an axiomatization of the Maslov index, an…
Equivariant toric geometry and Euler-Maclaurin formulae -- an overview
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann +1
We survey recent developments in the study of torus equivariant motivic Chern and Hirzebruch characteristic classes of projective toric varieties, with applications to calculating…
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…
Equivariant toric geometry and Euler-Maclaurin formulae
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann +1
We consider equivariant versions of the motivic Chern and Hirzebruch characteristic classes of a quasi-projective toric variety, and extend many known results from non-equivariant…
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…
Surgery On Foliations
Oliver Attie, Sylvain Cappell
In this paper, we set up two surgery theories and two kinds of Whitehead torsion for foliations. First, we construct a bounded surgery theory and bounded Whitehead torsion for foli…