50 citations · 308 across the 25 of their papers we have counts for
27 papers
Zeta functions and topology of Heisenberg cycles for linear ergodic flows
Nathaniel Butler, Heath Emerson, Tyler Schulz
Placing a Dirac-Schrödinger operator along the orbit of a flow on a compact manifold \(M\) defines an \(\R\)-equivariant spectral triple over the algebra of smooth functions on \(M…
Baum-Connes and the Fourier-Mukai transform
Heath Emerson, Dan Hudson
The Baum-Connes map for finitely generated free abelian groups is a K-theoretic analogue of the Fourier-Mukai transform from algebraic geometry. We describe this K-theoretic transf…
Transversals, duality, and irrational rotation
Anna Duwenig, Heath Emerson
An early result of Noncommutative Geometry was Connes' observation in the 1980's that the Dirac-Dolbeault cycle for the -torus , which induces a Poincaré self-dual…
The class of a fibre in Noncommutative Geometry
Heath Emerson
This paper studies the K-homology of a crossed product of a discrete group acting smoothly on a manifold, with a better understanding of the noncommutative geometry of the crossed-…
K-homological finiteness and hyperbolic groups
Heath Emerson, Bogdan Nica
Motivated by classical facts concerning closed manifolds, we introduce a strong finiteness property in K-homology. We say that a C*-algebra has uniformly summable K-homology if all…
An equivariant Lefschetz fixed-point formula for correspondences
Ivo Dell'Ambrogio, Heath Emerson, Ralf Meyer
We compute the trace of an endomorphism in equivariant bivariant K-theory for a compact group G in several ways: geometrically using geometric correspondences, algebraically using…