4 papers
Persistent Simple-homotopy invariants via discrete Morse theory
Divya Ahuja, Jaya NN Iyer
We introduce a refinement of persistent homology that detects simple-homotopy-theoretic phenomena invisible to homology. Given a filtered simplicial complex, we define the Morse co…
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…
Eilenberg-Moore categories and quiver representations of monads and comonads
Divya Ahuja, Abhishek Banerjee, Surjeet Kour +1
We consider representations of quivers taking values in monads or comonads over a Grothendieck category . We treat these as scheme like objects whose ``structure sheaf'…
Galois measurings for noncommutative base change of entwined contramodule and entwined comodule categories
Divya Ahuja, Abhishek Banerjee, Surjeet Kour
We study the noncommutative base change of an entwining structure by a Grothendieck category , using two module like categories. These are the categories of…