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math.KT2019★ 3 cited
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…
math.KT2018
Elliptic Operators and K-Homology
Anna Duwenig
If a differential operator on a smooth Hermitian vector bundle over a compact manifold is symmetric, it is essentially self-adjoint and so admits the use of functional…