4 papers
Equivariant formality for rational $\C_{p^k}$-spaces
Rekha Santhanam, Bittu Singh, Soumyadip Thandar
In this paper, we discuss equivariant formality for spaces equipped with a primary cyclic group action. We study the behavior of equivariant formality with some topological constru…
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…
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…
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…