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math.AT2025
On the Residue Sequence in Logarithmic Topological Cyclic Homology
Tommy Lundemo
As a localizing invariant, THH participates in localization sequences of cyclotomic spectra. We resolve a conjecture of Rognes by relating these to residue sequences in logarithmic…
math.AT2023
On Deformation Theory in Higher Logarithmic Geometry
Tommy Lundemo
We initiate the study of deformation theory in the context of derived and higher log geometry. After reconceptualizing the "exactification"-procedures in ordinary log geometry in t…
math.AT2020
On the relationship between logarithmic TAQ and logarithmic THH
Tommy Lundemo
We provide a new description of logarithmic topological André-Quillen homology in terms of the indecomposables of an augmented ring spectrum. The new description allows us to inter…