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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…
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…