Corpus ID: 235376951

On the geometric fixed-points of real topological cyclic homology

@inproceedings{Dotto2021OnTG,
  title={On the geometric fixed-points of real topological cyclic homology},
  author={E. Dotto and K. Moi and Irakli Patchkoria},
  year={2021}
}
We give a formula for the geometric fixed-points spectrum of the real topological cyclic homology of a bounded below ring spectrum, as an equaliser of two maps between tensor products of modules over the norm. We then use this formula to carry out computations in the fundamental examples of spherical group-rings, perfect Fp-algebras, and 2-torsion free rings with perfect modulo 2 reduction. Our calculations agree with the normal L-theory spectrum in the cases where the latter is known, as… Expand

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