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We study the Hubbard model on a square lattice, using the dynamical vertexapproximation and the parquet approximation. These methods allow us to describethe mutual interference of spin-fluctuations in the particle-hole channel andsuperconducting fluctuations in the cooperon channel in an unbiased way. Forsmall dopings we find predominant commensurable antiferromagnetic spin- andd-wave superconducting fluctuations; for larger doping incommensurateantiferromagnetic spin fluctuations are concomitant to triplet s-wavesuperconducting fluctuations.

Interplay between magnetic and superconducting fluctuations in the doped 2d Hubbard model