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math.AT2022★ 1 cited
The topological Petersson product
Luca Candelori, Andrew Salch
The nondegeneracy of the Petersson inner product on cusp forms, and the fact that Hecke operators are self-adjoint with respect to the Petersson product, together imply that the cu…
quant-ph2022
Quantum Neuron with Separable-State Encoding
London A. Cavaletto, Luca Candelori, Alex Matos-Abiague
The use of advanced quantum neuron models for pattern recognition applications requires fault tolerance. Therefore, it is not yet possible to test such models on a large scale in c…
math.AT2022★ 1 cited
Topological Hecke eigenforms
Luca Candelori, Andrew Salch
We study the eigenforms of the action of A. Baker's Hecke operators on the holomorphic elliptic homology of various topological spaces. We prove a multiplicity one theorem (i.e., o…