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math.AG2026
Equivariant principal bundles over toric Deligne--Mumford stacks
Ramandeep Singh Arora, Chandranandan Gangopadhyay, Mainak Poddar
Let be the toric Deligne--Mumford stack with stacky torus associated to the stacky fan . A toric principal -bu…
math.AT2026
Monoidal and symmetrized parametrized topological complexity
Ramandeep Singh Arora, Navnath Daundkar
We introduce and study monoidal and symmetrized versions of parametrized topological complexity. First, we develop parametrized analogues of the monoidal topological complexity the…
math.AT2026
On the -dimensional sectional category and induced invariants
Ramandeep Singh Arora, Sutirtha Datta, Navnath Daundkar +1
In this paper, we systematically study the -dimensional sectional category of a fibration, introduced by Schwarz as an approximating invariant for the sectional category. We dev…