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math.SG2021
Index formula for Hamiltonian loop group spaces
Yiannis Loizides
We study K-theory classes of Hamiltonian loop group spaces represented by admissible Fredholm complexes. We prove various equivariant index formulae in this context. In a sequel to…
math.OA2021★ 1 cited
Connes-Moscovici Residue Cocycle For Some Dirac-Type Operators
Ahmad Reza Haj Saeedi Sadegh, Yiannis Loizides, Jesus Sanchez
The residue cocycle associated to a suitable spectral triple is the key component of the Connes-Moscovici local index theorem in noncommutative geometry. We review the relationship…