3 papers
math.AT2026
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…
math.AT2026
Rational relative sectional category
Lekha Das, Bittu Singh
We develop an algebraic model for the relative sectional category of a continuous map in rational homotopy theory using commutative differential graded algebras (CDGAs). Our main r…
math.AT2023
Higher (equivariant) topological complexity of Milnor manifolds
Navnath Daundkar, Bittu Singh
J. Milnor introduced a specific class of codimension- submanifolds in the product of projective spaces, known as Milnor manifolds. This paper establishes precise bounds on the h…