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math.KT2016
Riemannian submersions and factorization of Dirac operators
Jens Kaad, Walter D. van Suijlekom
We establish the factorization of Dirac operators on Riemannian submersions of compact spin manifolds in unbounded KK-theory. More precisely, we show that the Dirac operator on…
math.KT2013★ 29 cited
Gauge Theory for Spectral Triples and the Unbounded Kasparov Product
Simon Brain, Bram Mesland, Walter D. van Suijlekom
We explore factorizations of noncommutative Riemannian spin geometries over commutative base manifolds in unbounded KK-theory. After setting up the general formalism of unbounded K…