3 papers
math.KT2026
An equivalence between two frameworks for real algebraic K-theory
Hadrian Heine, Markus Spitzweck, Paula Verdugo
We prove an equivalence between the real -theory genuine -spectra of Calmès et al. for Poincaré -categories and the one of the authors of this work for Waldhausen…
math.AG2025
Towards the dual motivic Steenrod algebra in positive characteristic
Martin Frankland, Markus Spitzweck
The dual motivic Steenrod algebra with mod coefficients was computed by Voevodsky over a base field of characteristic zero, and by Hoyois, Kelly, and Ãstvær over a base fi…
math.KT2025
Infinity categories with duality and hermitian multiplicative infinite loop space machines
Hadrian Heine, Alejo Lopez-Avila, Markus Spitzweck
We show that any preadditive infinity category with duality gives rise to a direct sum hermitian K-theory spectrum. This assignment is lax symmetric monoidal, thereby producing E-i…