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math.AT2026
Persistent Simple-homotopy invariants via discrete Morse theory
Divya Ahuja, Jaya NN Iyer, Priyavrat Deshpande +1
Persistent homology records the evolution of homological features along a filtration, but does not retain finer information related to simple-homotopy theory. In this paper, we dev…
math.CT2026
Characterizations of higher derivations and higher differential torsion theories in Eilenberg-Moore categories of monads
Dipti Paik, Divya Ahuja, Surjeet Kour
Let be a monad on a category . In this paper, we introduce the notion of higher derivations on the monad and characterize them in terms of ordinary derivations…