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math.AT2026
A Global Model Structure for -Linear -Local Systems
Hisham Sati, Urs Schreiber
Parameterized stable homotopy theory organizes local systems of spectra over homotopy types, governed by a "yoga" of six functors. To provide semantics for the recently developed L…
math.AT2024
Mysterious Triality and the Exceptional Symmetry of Loop Spaces
Hisham Sati, Alexander A. Voronov
In previous work, we introduced Mysterious Triality, extending the Mysterious Duality of Iqbal, Neitzke, and Vafa between physics and algebraic geometry to include algebraic topolo…