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math.OA2025
G-kernels and Crossed Modules
Sergio Girón Pacheco, Masaki Izumi, Ulrich Pennig
We develop a unified framework based on topological crossed modules for various lifting obstructions for -kernels. It allows us to identify actions, cocycle actions and -kern…
math.AT2025
Computing Connection Matrices of Conley Complexes via Algebraic Morse Theory
Álvaro Torras-Casas, Ka Man Yim, Ulrich Pennig
Given a poset-graded chain complex of vector spaces, a Conley complex is the minimal chain-homotopic reduction of the initial complex that respects the poset grading. A connection…