2 citations · 2 across the 26 of their papers we have counts for
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Equivariant persistence topological complexity
Navnath Daundkar, Ankur Sarkar, Bittu Singh
We introduce equivariant persistent analogues of Lusternik-Schnirelmann category, topological complexity, cup length, and zero-divisors cup length for persistent spaces with group…
On generalized complex projective product spaces
Navnath Daundkar, Soumen Sarkar
Free circle action on manifolds has been explored in several articles. Gonzalez and Velasco considered some free circle actions on the finite product of spheres. In this paper, we…
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…
Equivariant Relative Sectional Category and Induced Invariants
Navnath Daundkar, Rekha Santhanam, Bittu Singh
The relative sectional category, introduced by González, Grant, and Vandembroucq for fibrations and later extended by García-Calcines to arbitrary maps, provides a common framework…
On the Sequential topological complexity of directed (parametrized) motion planning algorithms
Navnath Daundkar, Abhishek Sarkar, Ankur Sarkar
We introduce sequential analogues of directed (parametrized) topological complexity, in the context of motion planning problems requiring a system to traverse a prescribed sequence…
New Bounds on Distributional Sectional Category and Applications to Distributional Homotopic Distance
Navnath Daundkar, J. M. García-Calcines
In this paper, we establish several new bounds for the distributional sectional category (). We first prove Jauhari's conjecture, thereby establishing a cohomologi…
Discrete version of topological complexity of maps
Sutirtha Datta, Navnath Daundkar, Abhishek Sarkar +1
We introduce and study discrete analogs of Scott's and Murillo-Wu's topological complexity of maps. We prove that these discrete analogs are contiguity invariants and are, in fact,…
On sequential versions of various parametrized invariants
Navnath Daundkar, Abhishek Sarkar, Ankur Sarkar
In this paper, we introduce and study sequential versions of several fibrewise homotopy invariants, including parametrized topological complexity, parametrized (subspace) homotopic…
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…